138156633540025 has 27 divisors (see below), whose sum is σ = 172202686034791. Its totient is φ = 109955049525440.

The previous prime is 138156633540011. The next prime is 138156633540031. The reversal of 138156633540025 is 520045336651831.

The square root of 138156633540025 is 11754005.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1251563525289 + 136905070014736 = 1118733^2 + 11700644^2 .

It is not a de Polignac number, because 138156633540025 - 2⁵ = 138156633539993 is a prime.

It is a super-2 number, since 2×138156633540025² (a number of 29 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 26 ways as a sum of consecutive naturals, for example, 11577688959 + ... + 11577700891.

Almost surely, 2^{138156633540025} is an apocalyptic number.

138156633540025 is the 11754005-th square number.

138156633540025 is the 5877003-rd centered octagonal number.

It is an amenable number.

138156633540025 is a deficient number, since it is larger than the sum of its proper divisors (34046052494766).

138156633540025 is an frugal number, since it uses more digits than its factorization.

138156633540025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24270 (or 12135 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 52.

The spelling of 138156633540025 in words is "one hundred thirty-eight trillion, one hundred fifty-six billion, six hundred thirty-three million, five hundred forty thousand, twenty-five".