138537463680 has 768 divisors, whose sum is σ = 617054630400. Its totient is φ = 27791769600.

The previous prime is 138537463667. The next prime is 138537463763. The reversal of 138537463680 is 86364735831.

138537463680 is a `hidden beast` number, since 1 + 3 + 8 + 537 + 46 + 3 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12856695 + ... + 12867465.

It is an arithmetic number, because the mean of its divisors is an integer number (803456550).

Almost surely, 2^138537463680 is an apocalyptic number.

138537463680 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 138537463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308527315200).

138537463680 is an abundant number, since it is smaller than the sum of its proper divisors (478517166720).

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

138537463680 is a wasteful number, since it uses less digits than its factorization.

138537463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10843 (or 10828 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 138537463680 in words is "one hundred thirty-eight billion, five hundred thirty-seven million, four hundred sixty-three thousand, six hundred eighty".