← 150 151 152 →
Cardinalone hundred fifty-one
Ordinal151st
(one hundred fifty-first)
Factorizationprime
Prime36th
Divisors1, 151
Greek numeralΡΝΑ´
Roman numeralCLI
Binary100101112
Ternary121213
Senary4116
Octal2278
Duodecimal10712

151 (one hundred [and] fifty-one) is a natural number. It follows 150 and precedes 152.

## In mathematics

151 is the 36th prime number, the previous is 149, with which it comprises a twin prime. 151 is also a palindromic prime, a centered decagonal number,[1] and a lucky number.[2]

151 appears in the Padovan sequence, preceded by the terms 65, 86, 114; it is the sum of the first two of these.[3]

151 is a unique prime in base 2, since it is the only prime with period 15 in base 2.

151 is the number of uniform paracompact honeycombs with infinite facets and vertex figures in the third dimension, which stem from 23 different Coxeter groups. Split into two whole numbers, 151 is the sum of 75 and 76, both of which are also relevant numbers in Euclidean and hyperbolic space:

There are 151 4-uniform tilings, such that the symmetry of tilings with regular polygons have four orbits of vertices.[4]

While 151 is the 36th indexed prime, its twin prime 149 has a reciprocal whose repeating decimal expansion has a digit sum of 666, which is the magic constant in a ${\displaystyle {\tfrac {1}{149))}$ prime reciprocal magic square equal to the sum of the first 36 non-zero integers, or equivalently the 36th triangular number.[5] Furthermore, the sum between twin primes (149, 151) is 300, which in turn is the 24th triangular number.

## In sports

• The De La Salle High School football team's national-record 151-game winning streak from 1992 to 2004.
• UFC 151 was cancelled due to a medial collateral ligament injury sustained by challenger Dan Henderson who was scheduled to face champion Jon Jones. Jones declined to fight a new challenger on an 8-day notice. This became the first UFC event in history to have been completely cancelled.

151 is also: