138753137427831 has 12 divisors (see below), whose sum is σ = 200424199288560. Its totient is φ = 92500706642400.

The previous prime is 138753137427763. The next prime is 138753137427833. The reversal of 138753137427831 is 138724731357831.

138753137427831 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 531 + 3 + 74 + 27 + 8 + 3 + 1 = 666.

It is not a de Polignac number, because 138753137427831 - 2¹⁵ = 138753137395063 is a prime.

It is a super-2 number, since 2×138753137427831² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138753137427833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114779995 + ... + 115982556.

It is an arithmetic number, because the mean of its divisors is an integer number (16702016607380).

Almost surely, 2^{138753137427831} is an apocalyptic number.

138753137427831 is a deficient number, since it is larger than the sum of its proper divisors (61671061860729).

138753137427831 is a wasteful number, since it uses less digits than its factorization.

138753137427831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230829366 (or 230829363 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 138753137427831 in words is "one hundred thirty-eight trillion, seven hundred fifty-three billion, one hundred thirty-seven million, four hundred twenty-seven thousand, eight hundred thirty-one".