138911686560 has 192 divisors, whose sum is σ = 514790640000. Its totient is φ = 34864091136.

The previous prime is 138911686531. The next prime is 138911686601. The reversal of 138911686560 is 65686119831.

138911686560 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 11 + 68 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 138911686497 and 138911686506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872310 + ... + 1019189.

It is an arithmetic number, because the mean of its divisors is an integer number (2681201250).

Almost surely, 2^138911686560 is an apocalyptic number.

138911686560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138911686560 is an abundant number, since it is smaller than the sum of its proper divisors (375878953440).

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

138911686560 is a wasteful number, since it uses less digits than its factorization.

138911686560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891540 (or 1891526 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 138911686560 in words is "one hundred thirty-eight billion, nine hundred eleven million, six hundred eighty-six thousand, five hundred sixty".