152415920 has 20 divisors (see below), whose sum is σ = 354367200. Its totient is φ = 60966336.

The previous prime is 152415919. The next prime is 152415953. The reversal of 152415920 is 29514251.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×152415920² = 46461225338892800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 952520 + ... + 952679.

It is an arithmetic number, because the mean of its divisors is an integer number (17718360).

Almost surely, 2^152415920 is an apocalyptic number.

152415920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152415920 is an abundant number, since it is smaller than the sum of its proper divisors (201951280).

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

152415920 is a wasteful number, since it uses less digits than its factorization.

152415920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905212 (or 1905206 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 152415920 is about 12345.6842661717. The cubic root of 152415920 is about 534.1666590678.

The spelling of 152415920 in words is "one hundred fifty-two million, four hundred fifteen thousand, nine hundred twenty".