152513152 has 64 divisors (see below), whose sum is σ = 348962400. Its totient is φ = 65664000.

The previous prime is 152513147. The next prime is 152513173. The reversal of 152513152 is 251315251.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23902 + ... + 29602.

Almost surely, 2^152513152 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 152513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174481200).

152513152 is an abundant number, since it is smaller than the sum of its proper divisors (196449248).

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

152513152 is a wasteful number, since it uses less digits than its factorization.

152513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5733 counting only the distinct ones).

The product of its digits is 1500, while the sum is 25.

The square root of 152513152 is about 12349.6215326624. The cubic root of 152513152 is about 534.2802234340.

The spelling of 152513152 in words is "one hundred fifty-two million, five hundred thirteen thousand, one hundred fifty-two".