152574864 has 160 divisors (see below), whose sum is σ = 473719680. Its totient is φ = 41803776.

The previous prime is 152574809. The next prime is 152574869. The reversal of 152574864 is 468475251.

It is a happy number.

152574864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152574869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201174 + ... + 201930.

It is an arithmetic number, because the mean of its divisors is an integer number (2960748).

Almost surely, 2^152574864 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 152574864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236859840).

152574864 is an abundant number, since it is smaller than the sum of its proper divisors (321144816).

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

152574864 is a wasteful number, since it uses less digits than its factorization.

152574864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 152574864 is about 12352.1198180717. The cubic root of 152574864 is about 534.3522763567.

The spelling of 152574864 in words is "one hundred fifty-two million, five hundred seventy-four thousand, eight hundred sixty-four".