138097083579984 has 120 divisors (see below), whose sum is σ = 390589476548544. Its totient is φ = 45545328000000.

The previous prime is 138097083579929. The next prime is 138097083580031. The reversal of 138097083579984 is 489975380790831.

138097083579984 is a `hidden beast` number, since 1 + 38 + 0 + 9 + 7 + 0 + 8 + 3 + 579 + 9 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7193737 + ... + 18109224.

Almost surely, 2^{138097083579984} is an apocalyptic number.

It is an amenable number.

138097083579984 is an abundant number, since it is smaller than the sum of its proper divisors (252492392968560).

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

138097083579984 is a wasteful number, since it uses less digits than its factorization.

138097083579984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25303377 (or 25303368 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 138097083579984 in words is "one hundred thirty-eight trillion, ninety-seven billion, eighty-three million, five hundred seventy-nine thousand, nine hundred eighty-four".