123757281390625 has 21 divisors (see below), whose sum is σ = 154696359841717. Its totient is φ = 99004712650000.

The previous prime is 123757281390593. The next prime is 123757281390689. The reversal of 123757281390625 is 526093182757321.

The square root of 123757281390625 is 11124625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 121291301112289 + 2465980278336 = 11013233^2 + 1570344^2 .

It is not a de Polignac number, because 123757281390625 - 2⁵ = 123757281390593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1390533627 + ... + 1390622623.

Almost surely, 2^{123757281390625} is an apocalyptic number.

123757281390625 is the 11124625-th square number.

123757281390625 is the 5562313-rd centered octagonal number.

It is an amenable number.

123757281390625 is a deficient number, since it is larger than the sum of its proper divisors (30939078451092).

123757281390625 is an frugal number, since it uses more digits than its factorization.

123757281390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178024 (or 89002 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 123757281390625 in words is "one hundred twenty-three trillion, seven hundred fifty-seven billion, two hundred eighty-one million, three hundred ninety thousand, six hundred twenty-five".