138180920320 has 44 divisors (see below), whose sum is σ = 331472290284. Its totient is φ = 55272366080.

The previous prime is 138180920263. The next prime is 138180920321. The reversal of 138180920320 is 23029081831.

It can be written as a sum of positive squares in 2 ways, for example, as 80765092864 + 57415827456 = 284192^2 + 239616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138180920320.

It is not an unprimeable number, because it can be changed into a prime (138180920321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13489111 + ... + 13499350.

Almost surely, 2^138180920320 is an apocalyptic number.

138180920320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138180920320 is an abundant number, since it is smaller than the sum of its proper divisors (193291369964).

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

138180920320 is an equidigital number, since it uses as much as digits as its factorization.

138180920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26988486 (or 26988468 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 138180920320 in words is "one hundred thirty-eight billion, one hundred eighty million, nine hundred twenty thousand, three hundred twenty".