123132867075625 has 45 divisors (see below), whose sum is σ = 169130542580769. Its totient is φ = 89548956750000.

The previous prime is 123132867075599. The next prime is 123132867075637. The reversal of 123132867075625 is 526570768231321.

The square root of 123132867075625 is 11096525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 9653616778729 + 113479250296896 = 3107027^2 + 10652664^2 .

It is not a de Polignac number, because 123132867075625 - 2⁷ = 123132867075497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123132867075625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3051524200 + ... + 3051564550.

Almost surely, 2^{123132867075625} is an apocalyptic number.

123132867075625 is the 11096525-th square number.

123132867075625 is the 5548263-rd centered octagonal number.

It is an amenable number.

123132867075625 is a deficient number, since it is larger than the sum of its proper divisors (45997675505144).

123132867075625 is an frugal number, since it uses more digits than its factorization.

123132867075625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80744 (or 40367 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 123132867075625 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, eight hundred sixty-seven million, seventy-five thousand, six hundred twenty-five".