152724960 has 96 divisors (see below), whose sum is σ = 534552480. Its totient is φ = 40725504.

The previous prime is 152724911. The next prime is 152724967. The reversal of 152724960 is 69427251.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152724967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13357 + ... + 21996.

It is an arithmetic number, because the mean of its divisors is an integer number (5568255).

Almost surely, 2^152724960 is an apocalyptic number.

152724960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152724960 is an abundant number, since it is smaller than the sum of its proper divisors (381827520).

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

152724960 is a wasteful number, since it uses less digits than its factorization.

152724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35377 (or 35363 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 152724960 is about 12358.1940428203. The cubic root of 152724960 is about 534.5274425039.

The spelling of 152724960 in words is "one hundred fifty-two million, seven hundred twenty-four thousand, nine hundred sixty".