57538152 has 144 divisors (see below), whose sum is σ = 185664960. Its totient is φ = 16043328.

The previous prime is 57538147. The next prime is 57538153. The reversal of 57538152 is 25183575.

57538152 is a `hidden beast` number, since 575 + 3 + 81 + 5 + 2 = 666.

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

Its product of digits (42000) is a multiple of the sum of its prime factors (420).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57538153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165643 + ... + 165989.

It is an arithmetic number, because the mean of its divisors is an integer number (1289340).

Almost surely, 2^57538152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57538152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92832480).

57538152 is an abundant number, since it is smaller than the sum of its proper divisors (128126808).

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

57538152 is a wasteful number, since it uses less digits than its factorization.

57538152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 57538152 is about 7585.3906952773. The cubic root of 57538152 is about 386.0574784425.

The spelling of 57538152 in words is "fifty-seven million, five hundred thirty-eight thousand, one hundred fifty-two".