138672652656 has 160 divisors (see below), whose sum is σ = 373976064000. Its totient is φ = 44230072320.

The previous prime is 138672652627. The next prime is 138672652669. The reversal of 138672652656 is 656256276831.

It is a junction number, because it is equal to n+sod(n) for n = 138672652596 and 138672652605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52987860 + ... + 52990476.

It is an arithmetic number, because the mean of its divisors is an integer number (2337350400).

Almost surely, 2^138672652656 is an apocalyptic number.

138672652656 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 138672652656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186988032000).

138672652656 is an abundant number, since it is smaller than the sum of its proper divisors (235303411344).

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

138672652656 is a wasteful number, since it uses less digits than its factorization.

138672652656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3041 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 138672652656 in words is "one hundred thirty-eight billion, six hundred seventy-two million, six hundred fifty-two thousand, six hundred fifty-six".