88134765625 has 39 divisors (see below), whose sum is σ = 116271972561. Its totient is φ = 66796875000.

The previous prime is 88134765601. The next prime is 88134765637. The reversal of 88134765625 is 52656743188.

It is a happy number.

The square root of 88134765625 is 296875.

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

It can be written as a sum of positive squares in 6 ways, for example, as 49866016249 + 38268749376 = 223307^2 + 195624^2 .

It is not a de Polignac number, because 88134765625 - 2⁹ = 88134765113 is a prime.

It is a Duffinian number.

Its product of digits (9676800) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 4638671866 + ... + 4638671884.

Almost surely, 2^88134765625 is an apocalyptic number.

88134765625 is the 296875-th square number.

88134765625 is the 148438-th centered octagonal number.

It is an amenable number.

88134765625 is a deficient number, since it is larger than the sum of its proper divisors (28137206936).

88134765625 is an frugal number, since it uses more digits than its factorization.

88134765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 24 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 88134765625 in words is "eighty-eight billion, one hundred thirty-four million, seven hundred sixty-five thousand, six hundred twenty-five".