138905076960 has 1152 divisors, whose sum is σ = 577457112960. Its totient is φ = 30891442176.

The previous prime is 138905076917. The next prime is 138905076971. The reversal of 138905076960 is 69670509831.

138905076960 is a `hidden beast` number, since 13 + 8 + 9 + 0 + 507 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138905076897 and 138905076906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 802919434 + ... + 802919606.

It is an arithmetic number, because the mean of its divisors is an integer number (501264855).

Almost surely, 2^138905076960 is an apocalyptic number.

138905076960 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 138905076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288728556480).

138905076960 is an abundant number, since it is smaller than the sum of its proper divisors (438552036000).

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

138905076960 is a wasteful number, since it uses less digits than its factorization.

138905076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 138905076960 in words is "one hundred thirty-eight billion, nine hundred five million, seventy-six thousand, nine hundred sixty".