123765625 has 21 divisors (see below), whose sum is σ = 156462841. Its totient is φ = 97900000.

The previous prime is 123765583. The next prime is 123765641. The reversal of 123765625 is 526567321.

The square root of 123765625 is 11125.

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 65334889 + 58430736 = 8083^2 + 7644^2 .

It is not a de Polignac number, because 123765625 - 2⁷ = 123765497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1390581 + ... + 1390669.

Almost surely, 2^123765625 is an apocalyptic number.

123765625 is the 11125-th square number.

123765625 is the 5563-rd centered octagonal number.

It is an amenable number.

123765625 is a deficient number, since it is larger than the sum of its proper divisors (32697216).

123765625 is an frugal number, since it uses more digits than its factorization.

123765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 94 counting only the distinct ones).

The product of its digits is 75600, while the sum is 37.

The cubic root of 123765625 is about 498.3487192137.

The spelling of 123765625 in words is "one hundred twenty-three million, seven hundred sixty-five thousand, six hundred twenty-five".