138957 has 16 divisors (see below), whose sum is σ = 228480. Its totient is φ = 73152.

The previous prime is 138937. The next prime is 138959. The reversal of 138957 is 759831.

It is not a de Polignac number, because 138957 - 2⁶ = 138893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138959) 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, 19 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2¹³⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

138957 is a deficient number, since it is larger than the sum of its proper divisors (89523).

138957 is a wasteful number, since it uses less digits than its factorization.

138957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532.

The product of its digits is 7560, while the sum is 33.

The square root of 138957 is about 372.7693656941. The cubic root of 138957 is about 51.7956725315.

The spelling of 138957 in words is "one hundred thirty-eight thousand, nine hundred fifty-seven".