152057952 has 48 divisors (see below), whose sum is σ = 443504880. Its totient is φ = 50685696.

The previous prime is 152057929. The next prime is 152057953. The reversal of 152057952 is 259750251.

152057952 is a `hidden beast` number, since 15 + 20 + 579 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 (152057953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87133 + ... + 88860.

It is an arithmetic number, because the mean of its divisors is an integer number (9239685).

Almost surely, 2^152057952 is an apocalyptic number.

152057952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152057952 is an abundant number, since it is smaller than the sum of its proper divisors (291446928).

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

152057952 is a wasteful number, since it uses less digits than its factorization.

152057952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176012 (or 175998 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 152057952 is about 12331.1780459127. The cubic root of 152057952 is about 533.7481453425.

The spelling of 152057952 in words is "one hundred fifty-two million, fifty-seven thousand, nine hundred fifty-two".