138976446960 has 720 divisors, whose sum is σ = 543736627200. Its totient is φ = 31694727168.

The previous prime is 138976446953. The next prime is 138976446977. The reversal of 138976446960 is 69644679831.

138976446960 is a `hidden beast` number, since 1 + 38 + 9 + 76 + 446 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×138976446960³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108659601 + ... + 108660879.

It is an arithmetic number, because the mean of its divisors is an integer number (755189760).

Almost surely, 2^138976446960 is an apocalyptic number.

138976446960 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 138976446960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271868313600).

138976446960 is an abundant number, since it is smaller than the sum of its proper divisors (404760180240).

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

138976446960 is a wasteful number, since it uses less digits than its factorization.

138976446960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 138976446960 in words is "one hundred thirty-eight billion, nine hundred seventy-six million, four hundred forty-six thousand, nine hundred sixty".