152972256 has 96 divisors (see below), whose sum is σ = 431827200. Its totient is φ = 47241216.

The previous prime is 152972243. The next prime is 152972279. The reversal of 152972256 is 652279251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×152972256² = 46801022211459072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108645 + ... + 110043.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2^152972256 is an apocalyptic number.

152972256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152972256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215913600).

152972256 is an abundant number, since it is smaller than the sum of its proper divisors (278854944).

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

152972256 is a wasteful number, since it uses less digits than its factorization.

152972256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1488 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 152972256 is about 12368.1953412776. The cubic root of 152972256 is about 534.8157935719.

The spelling of 152972256 in words is "one hundred fifty-two million, nine hundred seventy-two thousand, two hundred fifty-six".