138114087318025 has 243 divisors, whose sum is σ = 225714355960149. Its totient is φ = 83546260237440.

The previous prime is 138114087318023. The next prime is 138114087318041. The reversal of 138114087318025 is 520813780411831.

The square root of 138114087318025 is 11752195.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35599110317001 + 102514977001024 = 5966499^2 + 10124968^2 .

It is not a de Polignac number, because 138114087318025 - 2¹ = 138114087318023 is a prime.

It is a super-2 number, since 2×138114087318025² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138114087318023) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 122986720114 + ... + 122986721236.

Almost surely, 2^{138114087318025} is an apocalyptic number.

138114087318025 is the 11752195-th square number.

138114087318025 is the 5876098-th centered octagonal number.

It is an amenable number.

138114087318025 is a deficient number, since it is larger than the sum of its proper divisors (87600268642124).

138114087318025 is an equidigital number, since it uses as much as digits as its factorization.

138114087318025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 52.

The spelling of 138114087318025 in words is "one hundred thirty-eight trillion, one hundred fourteen billion, eighty-seven million, three hundred eighteen thousand, twenty-five".