152513304 has 64 divisors (see below), whose sum is σ = 414336000. Its totient is φ = 46604160.

The previous prime is 152513293. The next prime is 152513311. The reversal of 152513304 is 403315251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 8742 + ... + 19530.

It is an arithmetic number, because the mean of its divisors is an integer number (6474000).

Almost surely, 2^152513304 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 152513304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207168000).

152513304 is an abundant number, since it is smaller than the sum of its proper divisors (261822696).

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

152513304 is a wasteful number, since it uses less digits than its factorization.

152513304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10848 (or 10844 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 152513304 is about 12349.6276866957. The cubic root of 152513304 is about 534.2804009282.

Adding to 152513304 its reverse (403315251), we get a palindrome (555828555).

The spelling of 152513304 in words is "one hundred fifty-two million, five hundred thirteen thousand, three hundred four".