152392640625 has 105 divisors (see below), whose sum is σ = 285379101007. Its totient is φ = 81041850000.

The previous prime is 152392640611. The next prime is 152392640627. The reversal of 152392640625 is 526046293251.

The square root of 152392640625 is 390375.

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

152392640625 is a `hidden beast` number, since 1 + 5 + 239 + 2 + 6 + 406 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 133510582881 + 18882057744 = 365391^2 + 137412^2 .

It is not a de Polignac number, because 152392640625 - 2²⁹ = 151855769713 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152392640627) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 439171702 + ... + 439172048.

Almost surely, 2^152392640625 is an apocalyptic number.

152392640625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152392640625 is the 390375-th square number.

152392640625 is the 195188-th centered octagonal number.

It is an amenable number.

152392640625 is a deficient number, since it is larger than the sum of its proper divisors (132986460382).

152392640625 is an frugal number, since it uses more digits than its factorization.

152392640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 152392640625 in words is "one hundred fifty-two billion, three hundred ninety-two million, six hundred forty thousand, six hundred twenty-five".