138923925625 has 45 divisors (see below), whose sum is σ = 184622268369. Its totient is φ = 104482272000.

The previous prime is 138923925619. The next prime is 138923925677. The reversal of 138923925625 is 526529329831.

The square root of 138923925625 is 372725.

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

It can be written as a sum of positive squares in 22 ways, for example, as 118940145129 + 19983780496 = 344877^2 + 141364^2 .

It is not a de Polignac number, because 138923925625 - 2⁵ = 138923925593 is a prime.

It is a super-2 number, since 2×138923925625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 158407687 + ... + 158408563.

Almost surely, 2^138923925625 is an apocalyptic number.

138923925625 is the 372725-th square number.

138923925625 is the 186363-rd centered octagonal number.

It is an amenable number.

138923925625 is a deficient number, since it is larger than the sum of its proper divisors (45698342744).

138923925625 is an frugal number, since it uses more digits than its factorization.

138923925625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 899 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The spelling of 138923925625 in words is "one hundred thirty-eight billion, nine hundred twenty-three million, nine hundred twenty-five thousand, six hundred twenty-five".