138943316900 has 36 divisors (see below), whose sum is σ = 301643232660. Its totient is φ = 55552214400.

The previous prime is 138943316819. The next prime is 138943316921. The reversal of 138943316900 is 9613349831.

It can be written as a sum of positive squares in 6 ways, for example, as 2735080804 + 136208236096 = 52298^2 + 369064^2 .

It is a super-2 number, since 2×138943316900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90695 + ... + 534894.

It is an arithmetic number, because the mean of its divisors is an integer number (8378978685).

Almost surely, 2^138943316900 is an apocalyptic number.

138943316900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138943316900 is an abundant number, since it is smaller than the sum of its proper divisors (162699915760).

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

138943316900 is a wasteful number, since it uses less digits than its factorization.

138943316900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627824 (or 627817 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The spelling of 138943316900 in words is "one hundred thirty-eight billion, nine hundred forty-three million, three hundred sixteen thousand, nine hundred".