138601920320 has 56 divisors (see below), whose sum is σ = 330224590248. Its totient is φ = 55410739200.

The previous prime is 138601920319. The next prime is 138601920323. The reversal of 138601920320 is 23029106831.

It can be written as a sum of positive squares in 4 ways, for example, as 5306831104 + 133295089216 = 72848^2 + 365096^2 .

It is a super-3 number, since 3×138601920320³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138601920323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479150 + ... + 711890.

It is an arithmetic number, because the mean of its divisors is an integer number (5896867683).

Almost surely, 2^138601920320 is an apocalyptic number.

138601920320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138601920320 is an abundant number, since it is smaller than the sum of its proper divisors (191622669928).

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

138601920320 is a wasteful number, since it uses less digits than its factorization.

138601920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234619 (or 234609 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 138601920320 in words is "one hundred thirty-eight billion, six hundred one million, nine hundred twenty thousand, three hundred twenty".