138770405361 has 117 divisors (see below), whose sum is σ = 245502470331. Its totient is φ = 78211109088.

The previous prime is 138770405351. The next prime is 138770405363. The reversal of 138770405361 is 163504077831.

The square root of 138770405361 is 372519.

It is a perfect power (a square), and thus also a powerful number.

138770405361 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 70 + 40 + 536 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78772842225 + 59997563136 = 280665^2 + 244944^2 .

It is not a de Polignac number, because 138770405361 - 2⁷ = 138770405233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138770405363) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 1900964421 + ... + 1900964493.

Almost surely, 2^138770405361 is an apocalyptic number.

138770405361 is the 372519-th square number.

138770405361 is the 186260-th centered octagonal number.

It is an amenable number.

138770405361 is a deficient number, since it is larger than the sum of its proper divisors (106732064970).

138770405361 is an frugal number, since it uses more digits than its factorization.

138770405361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 138770405361 in words is "one hundred thirty-eight billion, seven hundred seventy million, four hundred five thousand, three hundred sixty-one".