152972864 has 56 divisors (see below), whose sum is σ = 333134208. Its totient is φ = 69117440.

The previous prime is 152972861. The next prime is 152972867. The reversal of 152972864 is 468279251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152972861) and next prime (152972867).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (152972861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138137 + ... + 139239.

Almost surely, 2^152972864 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 152972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166567104).

152972864 is an abundant number, since it is smaller than the sum of its proper divisors (180161344).

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

152972864 is a wasteful number, since it uses less digits than its factorization.

152972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1313 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 152972864 is about 12368.2199204251. The cubic root of 152972864 is about 534.8165021265.

The spelling of 152972864 in words is "one hundred fifty-two million, nine hundred seventy-two thousand, eight hundred sixty-four".