132259505625 has 135 divisors (see below), whose sum is σ = 259196434497. Its totient is φ = 64937808000.

The previous prime is 132259505593. The next prime is 132259505633. The reversal of 132259505625 is 526505952231.

It is a happy number.

The square root of 132259505625 is 363675.

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

132259505625 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 595 + 0 + 56 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 86254403481 + 46005102144 = 293691^2 + 214488^2 .

It is not a de Polignac number, because 132259505625 - 2⁵ = 132259505593 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 354582939 + ... + 354583311.

Almost surely, 2^132259505625 is an apocalyptic number.

132259505625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132259505625 is the 363675-th square number.

132259505625 is the 181838-th centered octagonal number.

It is an amenable number.

132259505625 is a deficient number, since it is larger than the sum of its proper divisors (126936928872).

132259505625 is an frugal number, since it uses more digits than its factorization.

132259505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 132259505625 in words is "one hundred thirty-two billion, two hundred fifty-nine million, five hundred five thousand, six hundred twenty-five".