138080713100625 has 45 divisors (see below), whose sum is σ = 249234209438071. Its totient is φ = 73642576956000.

The previous prime is 138080713100599. The next prime is 138080713100657. The reversal of 138080713100625 is 526001317080831.

It is a happy number.

The square root of 138080713100625 is 11750775.

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

138080713100625 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 8 + 0 + 7 + 1 + 3 + 10 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 138012473032641 + 68240067984 = 11747871^2 + 261228^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 138080713100625 - 2⁵ = 138080713100593 is a prime.

It is a super-2 number, since 2×138080713100625² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 881229787 + ... + 881386463.

Almost surely, 2^{138080713100625} is an apocalyptic number.

138080713100625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138080713100625 is the 11750775-th square number.

138080713100625 is the 5875388-th centered octagonal number.

It is an amenable number.

138080713100625 is a deficient number, since it is larger than the sum of its proper divisors (111153496337446).

138080713100625 is an frugal number, since it uses more digits than its factorization.

138080713100625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313380 (or 156685 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 138080713100625 in words is "one hundred thirty-eight trillion, eighty billion, seven hundred thirteen million, one hundred thousand, six hundred twenty-five".