138660589070976 has 768 divisors, whose sum is σ = 446961715200000. Its totient is φ = 37933791436800.

The previous prime is 138660589070959. The next prime is 138660589070989. The reversal of 138660589070976 is 679070985066831.

It is a junction number, because it is equal to n+sod(n) for n = 138660589070898 and 138660589070907.

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, 69364976025 + ... + 69364978023.

It is an arithmetic number, because the mean of its divisors is an integer number (581981400000).

Almost surely, 2^{138660589070976} is an apocalyptic number.

138660589070976 is a gapful number since it is divisible by the number (16) 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 138660589070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223480857600000).

138660589070976 is an abundant number, since it is smaller than the sum of its proper divisors (308301126129024).

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

138660589070976 is a wasteful number, since it uses less digits than its factorization.

138660589070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 75.

The spelling of 138660589070976 in words is "one hundred thirty-eight trillion, six hundred sixty billion, five hundred eighty-nine million, seventy thousand, nine hundred seventy-six".