138112685448192 has 264 divisors, whose sum is σ = 490827550050656. Its totient is φ = 36425323413504.

The previous prime is 138112685448169. The next prime is 138112685448193. The reversal of 138112685448192 is 291844586211831.

138112685448192 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 1 + 2 + 6 + 8 + 544 + 81 + 9 + 2 = 666.

It is a super-2 number, since 2×138112685448192² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138112685448193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81503023 + ... + 83180334.

Almost surely, 2^{138112685448192} is an apocalyptic number.

138112685448192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138112685448192 is an abundant number, since it is smaller than the sum of its proper divisors (352714864602464).

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

138112685448192 is a wasteful number, since it uses less digits than its factorization.

138112685448192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164683403 (or 164683382 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 138112685448192 in words is "one hundred thirty-eight trillion, one hundred twelve billion, six hundred eighty-five million, four hundred forty-eight thousand, one hundred ninety-two".