138856336320 has 112 divisors (see below), whose sum is σ = 474781900320. Its totient is φ = 34180018176.

The previous prime is 138856336273. The next prime is 138856336321. The reversal of 138856336320 is 23633658831.

It is a super-2 number, since 2×138856336320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 138856336320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138856336321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5550675 + ... + 5575634.

It is an arithmetic number, because the mean of its divisors is an integer number (4239124110).

Almost surely, 2^138856336320 is an apocalyptic number.

138856336320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138856336320 is an abundant number, since it is smaller than the sum of its proper divisors (335925564000).

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

138856336320 is a wasteful number, since it uses less digits than its factorization.

138856336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11126342 (or 11126332 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 138856336320 in words is "one hundred thirty-eight billion, eight hundred fifty-six million, three hundred thirty-six thousand, three hundred twenty".