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152 is the sum of four consecutive primes (31 + 37 + 41 + 43). It is a nontotient since there is no integer with 152 coprimes below it.. 152 is a refactorable number since it is divisible by the total number of divisors it has, and in base 10 it is divisible by the sum of its digits, making it a Harshad number.
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. There are 151 4-uniform tilings, such that the symmetry of tilings with regular polygons have four orbits of vertices. [4]
The next prime is 163 and the previous prime is 151. a balanced prime, because the arithmetic mean of those primes yields 157. an emirp. a Chen prime. the largest known prime p which + + is also prime. (see OEIS: A056826). the least irregular prime with index 2. a palindromic number in bases 7 (313 7) and 12 (111 12).
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an undulating number in base 10, with the previous being 131, and the next being 151. the sixth hendecagonal (11-gonal) number. [4] a semiprime: a product of two prime numbers, namely 3 and 47. Since those prime factors are Gaussian primes, this means that 141 is a Blum integer. a Hilbert prime
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