138089913359580 has 3840 divisors, whose sum is σ = 594851010969600. Its totient is φ = 26007980359680.

The previous prime is 138089913359551. The next prime is 138089913359603. The reversal of 138089913359580 is 85953319980831.

138089913359580 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 8 + 9 + 9 + 1 + 3 + 35 + 9 + 580 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138089913359499 and 138089913359508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 826885708657 + ... + 826885708823.

It is an arithmetic number, because the mean of its divisors is an integer number (154909117440).

Almost surely, 2^{138089913359580} is an apocalyptic number.

138089913359580 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 138089913359580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297425505484800).

138089913359580 is an abundant number, since it is smaller than the sum of its proper divisors (456761097610020).

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

138089913359580 is a wasteful number, since it uses less digits than its factorization.

138089913359580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 138089913359580 in words is "one hundred thirty-eight trillion, eighty-nine billion, nine hundred thirteen million, three hundred fifty-nine thousand, five hundred eighty".