152516160 has 84 divisors (see below), whose sum is σ = 524601948. Its totient is φ = 40670208.

The previous prime is 152516153. The next prime is 152516171. The reversal of 152516160 is 61615251.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 132158016 = 4512^2 + 11496^2 .

It is a super-2 number, since 2×152516160² = 46522358122291200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23599 + ... + 29358.

Almost surely, 2^152516160 is an apocalyptic number.

152516160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152516160 is an abundant number, since it is smaller than the sum of its proper divisors (372085788).

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

152516160 is a wasteful number, since it uses less digits than its factorization.

152516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52980 (or 52967 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152516160 is about 12349.7433171706. The cubic root of 152516160 is about 534.2837359275.

Subtracting from 152516160 its reverse (61615251), we obtain a palindrome (90900909).

The spelling of 152516160 in words is "one hundred fifty-two million, five hundred sixteen thousand, one hundred sixty".