152507664 has 80 divisors (see below), whose sum is σ = 456816000. Its totient is φ = 48622464.

The previous prime is 152507653. The next prime is 152507681. The reversal of 152507664 is 466705251.

It is a happy number.

152507664 is a `hidden beast` number, since 1 + 525 + 0 + 76 + 64 = 666.

152507664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262 + ... + 17610.

It is an arithmetic number, because the mean of its divisors is an integer number (5710200).

Almost surely, 2^152507664 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 152507664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228408000).

152507664 is an abundant number, since it is smaller than the sum of its proper divisors (304308336).

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

152507664 is a wasteful number, since it uses less digits than its factorization.

152507664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15389 (or 15377 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 152507664 is about 12349.3993376196. The cubic root of 152507664 is about 534.2738148828.

152507664 divided by its sum of digits (36) gives a palindrome (4236324).

The spelling of 152507664 in words is "one hundred fifty-two million, five hundred seven thousand, six hundred sixty-four".