152604864 has 112 divisors (see below), whose sum is σ = 458419200. Its totient is φ = 49759488.

The previous prime is 152604863. The next prime is 152604899. The reversal of 152604864 is 468406251.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152604863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80277 + ... + 82155.

Almost surely, 2^152604864 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 152604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229209600).

152604864 is an abundant number, since it is smaller than the sum of its proper divisors (305814336).

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

152604864 is a wasteful number, since it uses less digits than its factorization.

152604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 152604864 is about 12353.3341248426. The cubic root of 152604864 is about 534.3872963622.

The spelling of 152604864 in words is "one hundred fifty-two million, six hundred four thousand, eight hundred sixty-four".