138604931136 has 672 divisors, whose sum is σ = 501193612800. Its totient is φ = 37391155200.

The previous prime is 138604931083. The next prime is 138604931137. The reversal of 138604931136 is 631139406831.

It is a happy number.

138604931136 is a `hidden beast` number, since 1 + 3 + 8 + 604 + 9 + 3 + 1 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×138604931136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138604931091 and 138604931100.

It is not an unprimeable number, because it can be changed into a prime (138604931137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115407336 + ... + 115408536.

Almost surely, 2^138604931136 is an apocalyptic number.

138604931136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138604931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250596806400).

138604931136 is an abundant number, since it is smaller than the sum of its proper divisors (362588681664).

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

138604931136 is a wasteful number, since it uses less digits than its factorization.

138604931136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 138604931136 in words is "one hundred thirty-eight billion, six hundred four million, nine hundred thirty-one thousand, one hundred thirty-six".