138755358557136 has 80 divisors (see below), whose sum is σ = 398395289125120. Its totient is φ = 46238312989440.

The previous prime is 138755358556999. The next prime is 138755358557141. The reversal of 138755358557136 is 631755853557831.

138755358557136 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 5 + 5 + 3 + 58 + 557 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 45297160 + ... + 48263271.

It is an arithmetic number, because the mean of its divisors is an integer number (4979941114064).

Almost surely, 2^{138755358557136} is an apocalyptic number.

138755358557136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138755358557136 is an abundant number, since it is smaller than the sum of its proper divisors (259639930567984).

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

138755358557136 is a wasteful number, since it uses less digits than its factorization.

138755358557136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93563881 (or 93563869 counting only the distinct ones).

The product of its digits is 1587600000, while the sum is 72.

The spelling of 138755358557136 in words is "one hundred thirty-eight trillion, seven hundred fifty-five billion, three hundred fifty-eight million, five hundred fifty-seven thousand, one hundred thirty-six".