159 (number)

← 158 159 160 →
← 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-nine
Ordinal	159th (one hundred fifty-ninth)
Factorization	3 × 53
Divisors	1, 3, 53, 159
Greek numeral	ΡΝΘ´
Roman numeral	CLIX, clix
Binary	100111112
Ternary	122203
Senary	4236
Octal	2378
Duodecimal	11312
Hexadecimal	9F16

159 (one hundred [and] fifty-nine) is a natural number following 158 and preceding 160.

In mathematics

159 is:

• the sum of 3 consecutive prime numbers: 47 + 53 + 59.
• a Woodall number. ^[1]
• equal to the sum of the squares of the digits of its own square in base 15. ^[2]

Only 5 numbers (greater than 1) have this property in base 15, none in base 10.

159 is the largest number that cannot be expressed as the sum of distinct pentagonal numbers.

• written CLIX in Roman numeral, which spells a proper noun with multiple meanings.

Given 159, the Mertens function returns 0. ^[3]

References

1. "Sloane's A003261 : Woodall (or Riesel) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
2. "Sloane's A270304 : Numbers that equal the sum of the squares of the digits of their own square in base 15". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
3. "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.

External links

• Number Facts and Trivia: 159
• The Number 159
• VirtueScience: 159 Archived 2021-02-01 at the Wayback Machine
• 159th Medical Detachment
• Farewell to Routemaster Bus 159