138758113368 has 240 divisors, whose sum is σ = 452586657600. Its totient is φ = 39602908800.

The previous prime is 138758113321. The next prime is 138758113409. The reversal of 138758113368 is 863311857831.

138758113368 is a `hidden beast` number, since 13 + 8 + 7 + 581 + 13 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41307673 + ... + 41311031.

It is an arithmetic number, because the mean of its divisors is an integer number (1885777740).

Almost surely, 2^138758113368 is an apocalyptic number.

138758113368 is a gapful number since it is divisible by the number (18) 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 138758113368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226293328800).

138758113368 is an abundant number, since it is smaller than the sum of its proper divisors (313828544232).

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

138758113368 is a wasteful number, since it uses less digits than its factorization.

138758113368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4672 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 138758113368 in words is "one hundred thirty-eight billion, seven hundred fifty-eight million, one hundred thirteen thousand, three hundred sixty-eight".