57138 has 16 divisors (see below), whose sum is σ = 116640. Its totient is φ = 18656.

The previous prime is 57131. The next prime is 57139. The reversal of 57138 is 83175.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57131) 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, 481 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2⁵⁷¹³⁸ is an apocalyptic number.

57138 is an abundant number, since it is smaller than the sum of its proper divisors (59502).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58320).

57138 is a wasteful number, since it uses less digits than its factorization.

57138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

The product of its digits is 840, while the sum is 24.

The square root of 57138 is about 239.0355622078. The cubic root of 57138 is about 38.5160443613.

The spelling of 57138 in words is "fifty-seven thousand, one hundred thirty-eight".