151956 has 60 divisors (see below), whose sum is σ = 460768. Its totient is φ = 42768.

The previous prime is 151939. The next prime is 151967. The reversal of 151956 is 659151.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1350) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 151956.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2235 + ... + 2301.

2¹⁵¹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230384).

151956 is an abundant number, since it is smaller than the sum of its proper divisors (308812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151956 is a wasteful number, since it uses less digits than its factorization.

151956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 151956 is about 389.8153408987. The cubic root of 151956 is about 53.3628829304.

The spelling of 151956 in words is "one hundred fifty-one thousand, nine hundred fifty-six".