152832960 has 504 divisors, whose sum is σ = 661934160. Its totient is φ = 33094656.

The previous prime is 152832959. The next prime is 152833003. The reversal of 152832960 is 69238251.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8043831 + ... + 8043849.

Almost surely, 2^152832960 is an apocalyptic number.

152832960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330967080).

152832960 is an abundant number, since it is smaller than the sum of its proper divisors (509101200).

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

152832960 is a wasteful number, since it uses less digits than its factorization.

152832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 152832960 is about 12362.5628410941. The cubic root of 152832960 is about 534.6534104779.

The spelling of 152832960 in words is "one hundred fifty-two million, eight hundred thirty-two thousand, nine hundred sixty".