150 (number)

← 149 150 151 →
← 150 151 152 153 154 155 156 157 158 159 → List of numbers ; Integers ; ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred fifty
Ordinal	150th; (one hundred fiftieth)
Factorization	2 × 3 × 52
Divisors	1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Greek numeral	ΡΝ´
Roman numeral	CL
Binary	100101102
Ternary	121203
Senary	4106
Octal	2268
Duodecimal	10612
Hexadecimal	9616

Last updated December 03, 2024

150 (one hundred [and] fifty) is the natural number following 149 and preceding 151.

In mathematics

150 is the sum of eight consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31). Given 150, the Mertens function returns 0.^[1]
150 is conjectured to be the only minimal difference greater than 1 of any increasing arithmetic progression of n primes (in this case, n = 7) that is not a primorial (a product of the first m primes).^[2]
The sum of Euler's totient function φ(x) over the first twenty-two integers is 150.
150 is a Harshad number and an abundant number.
150 degrees is the measure of the internal angle of a regular dodecagon.

In the Bible

The last numbered Psalm in the Bible, Psalm 150, considered the one most often set to music.
The number of sons of Ulam, who were combat archers, in the Census of the men of Israel upon return from exile (I Chronicles 8:40)
In the Book of Genesis, the number of days the waters from the Great Flood persisted on the Earth before subsiding.

Manuscripts

In sports

In Round 20 of the 2011 AFL season, Geelong inflicted the worst ever defeat on the Gold Coast Suns by 150 points.

In other fields

150 is also:

The number of degrees in the quincunx astrological aspect explored by Johannes Kepler.
The approximate value for Dunbar's number, a theoretical value with implications in sociology and anthropology
The total number of Power Stars in Super Mario 64 DS for the Nintendo DS.

The total number of dragon eggs in Spyro: Year of the Dragon.

Related Research Articles

70 (seventy) is the natural number following 69 and preceding 71.

29 (twenty-nine) is the natural number following 28 and preceding 30. It is a prime number.

32 (thirty-two) is the natural number following 31 and preceding 33.

31 (thirty-one) is the natural number following 30 and preceding 32. It is a prime number.

37 (thirty-seven) is the natural number following 36 and preceding 38.

58 (fifty-eight) is the natural number following 57 and preceding 59.

100 or one hundred is the natural number following 99 and preceding 101.

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

360 is the natural number following 359 and preceding 361.

400 is the natural number following 399 and preceding 401.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10, it is a Harshad number. It is also the first number to be the square of a sphenic number.

2000 is a natural number following 1999 and preceding 2001.

8000 is the natural number following 7999 and preceding 8001.

135 is the natural number following 134 and preceding 136.

168 is the natural number following 167 and preceding 169.

60,000 is the natural number that comes after 59,999 and before 60,001. It is a round number. It is the value of (75025).

References

↑ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
↑ "Sloane's A123556: Minimal difference of any increasing arithmetic progression of n primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-06-30.

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[1] "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.

[2] "Sloane's A123556: Minimal difference of any increasing arithmetic progression of n primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-06-30.

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