139305261645225 has 81 divisors (see below), whose sum is σ = 270185232875493. Its totient is φ = 68579918821440.

The previous prime is 139305261645203. The next prime is 139305261645247. The reversal of 139305261645225 is 522546162503931.

The square root of 139305261645225 is 11802765.

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

139305261645225 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 0 + 52 + 6 + 1 + 64 + 522 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (139305261645203) and next prime (139305261645247).

It can be written as a sum of positive squares in 4 ways, for example, as 35906137261929 + 103399124383296 = 5992173^2 + 10168536^2 .

It is not a de Polignac number, because 139305261645225 - 2⁹ = 139305261644713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2301508912 + ... + 2301569438.

Almost surely, 2^{139305261645225} is an apocalyptic number.

139305261645225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

139305261645225 is the 11802765-th square number.

139305261645225 is the 5901383-rd centered octagonal number.

It is an amenable number.

139305261645225 is a deficient number, since it is larger than the sum of its proper divisors (130879971230268).

139305261645225 is an frugal number, since it uses more digits than its factorization.

139305261645225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121096 (or 60548 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 139305261645225 in words is "one hundred thirty-nine trillion, three hundred five billion, two hundred sixty-one million, six hundred forty-five thousand, two hundred twenty-five".