138113358768 has 640 divisors, whose sum is σ = 509194076160. Its totient is φ = 34801643520.

The previous prime is 138113358739. The next prime is 138113358781. The reversal of 138113358768 is 867853311831.

138113358768 is a `hidden beast` number, since 13 + 8 + 11 + 33 + 587 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318968280 + ... + 318968712.

It is an arithmetic number, because the mean of its divisors is an integer number (795615744).

Almost surely, 2^138113358768 is an apocalyptic number.

138113358768 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 138113358768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254597038080).

138113358768 is an abundant number, since it is smaller than the sum of its proper divisors (371080717392).

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

138113358768 is a wasteful number, since it uses less digits than its factorization.

138113358768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

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

The spelling of 138113358768 in words is "one hundred thirty-eight billion, one hundred thirteen million, three hundred fifty-eight thousand, seven hundred sixty-eight".