138718275201 has 144 divisors (see below), whose sum is σ = 234377043264. Its totient is φ = 78343200000.

The previous prime is 138718275181. The next prime is 138718275203. The reversal of 138718275201 is 102572817831.

138718275201 is a `hidden beast` number, since 1 + 38 + 71 + 8 + 27 + 520 + 1 = 666.

It is not a de Polignac number, because 138718275201 - 2²¹ = 138716178049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138718275203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 552662326 + ... + 552662576.

It is an arithmetic number, because the mean of its divisors is an integer number (1627618356).

Almost surely, 2^138718275201 is an apocalyptic number.

138718275201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138718275201 is a deficient number, since it is larger than the sum of its proper divisors (95658768063).

138718275201 is a wasteful number, since it uses less digits than its factorization.

138718275201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 138718275201 in words is "one hundred thirty-eight billion, seven hundred eighteen million, two hundred seventy-five thousand, two hundred one".