[2] 151 appears in the Padovan sequence, preceded by the terms 65, 86, 114; it is the sum of the first two of these.
[4] 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 relevant numbers in Euclidean and hyperbolic 3-space: 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
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.