138036957 has 16 divisors (see below), whose sum is σ = 205133760. Its totient is φ = 82052352.

The previous prime is 138036949. The next prime is 138036967. The reversal of 138036957 is 759630831.

138036957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138036957 - 2³ = 138036949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138036907) 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, 70258 + ... + 72195.

It is an arithmetic number, because the mean of its divisors is an integer number (12820860).

Almost surely, 2^138036957 is an apocalyptic number.

138036957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

138036957 is a deficient number, since it is larger than the sum of its proper divisors (67096803).

138036957 is a wasteful number, since it uses less digits than its factorization.

138036957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142492.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 138036957 is about 11748.9130135515. The cubic root of 138036957 is about 516.8110517502.

The spelling of 138036957 in words is "one hundred thirty-eight million, thirty-six thousand, nine hundred fifty-seven".