138113788693968 has 80 divisors (see below), whose sum is σ = 396439456935360. Its totient is φ = 46037728646784.

The previous prime is 138113788693949. The next prime is 138113788693999. The reversal of 138113788693968 is 869396887311831.

138113788693968 is a `hidden beast` number, since 1 + 3 + 81 + 1 + 3 + 78 + 86 + 9 + 396 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124293571 + ... + 125399837.

It is an arithmetic number, because the mean of its divisors is an integer number (4955493211692).

Almost surely, 2^{138113788693968} is an apocalyptic number.

138113788693968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138113788693968 is an abundant number, since it is smaller than the sum of its proper divisors (258325668241392).

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

138113788693968 is a wasteful number, since it uses less digits than its factorization.

138113788693968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395281 (or 1395269 counting only the distinct ones).

The product of its digits is 2257403904, while the sum is 81.

The spelling of 138113788693968 in words is "one hundred thirty-eight trillion, one hundred thirteen billion, seven hundred eighty-eight million, six hundred ninety-three thousand, nine hundred sixty-eight".