138516848640 has 1008 divisors, whose sum is σ = 548177277024. Its totient is φ = 32180797440.

The previous prime is 138516848627. The next prime is 138516848651. The reversal of 138516848640 is 46848615831.

138516848640 is a `hidden beast` number, since 1 + 3 + 8 + 516 + 8 + 4 + 86 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4468285425 + ... + 4468285455.

Almost surely, 2^138516848640 is an apocalyptic number.

138516848640 is a gapful number since it is divisible by the number (10) 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 138516848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274088638512).

138516848640 is an abundant number, since it is smaller than the sum of its proper divisors (409660428384).

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

138516848640 is a wasteful number, since it uses less digits than its factorization.

138516848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 138516848640 in words is "one hundred thirty-eight billion, five hundred sixteen million, eight hundred forty-eight thousand, six hundred forty".