152364160 has 64 divisors (see below), whose sum is σ = 392285880. Its totient is φ = 56254464.

The previous prime is 152364143. The next prime is 152364181. The reversal of 152364160 is 61463251.

It can be written as a sum of positive squares in 4 ways, for example, as 75064896 + 77299264 = 8664^2 + 8792^2 .

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, 837 + ... + 17476.

Almost surely, 2^152364160 is an apocalyptic number.

152364160 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 152364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196142940).

152364160 is an abundant number, since it is smaller than the sum of its proper divisors (239921720).

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

152364160 is a wasteful number, since it uses less digits than its factorization.

152364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18345 (or 18333 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 152364160 is about 12343.5878090610. The cubic root of 152364160 is about 534.1061850774.

Subtracting from 152364160 its reverse (61463251), we obtain a palindrome (90900909).

The spelling of 152364160 in words is "one hundred fifty-two million, three hundred sixty-four thousand, one hundred sixty".