138107503080 has 96 divisors (see below), whose sum is σ = 448977845160. Its totient is φ = 36818127360.

The previous prime is 138107503067. The next prime is 138107503087. The reversal of 138107503080 is 80305701831.

138107503080 is a `hidden beast` number, since 138 + 10 + 7 + 503 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23231246724 + 114876256356 = 152418^2 + 338934^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138107503087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247590 + ... + 1353770.

Almost surely, 2^138107503080 is an apocalyptic number.

138107503080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138107503080 is an abundant number, since it is smaller than the sum of its proper divisors (310870342080).

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

138107503080 is a wasteful number, since it uses less digits than its factorization.

138107503080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109811 (or 109804 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 138107503080 in words is "one hundred thirty-eight billion, one hundred seven million, five hundred three thousand, eighty".