132890625 has 96 divisors (see below), whose sum is σ = 284374272. Its totient is φ = 60750000.

The previous prime is 132890621. The next prime is 132890647. The reversal of 132890625 is 526098231.

132890625 is a `hidden beast` number, since 1 + 3 + 28 + 9 + 0 + 625 = 666.

It is not a de Polignac number, because 132890625 - 2² = 132890621 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 132890625.

It is not an unprimeable number, because it can be changed into a prime (132890621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18984372 + ... + 18984378.

It is an arithmetic number, because the mean of its divisors is an integer number (2962232).

It is a Proth number, since it is equal to 8111 ⋅ 2¹⁴ + 1 and 8111 < 2¹⁴.

Almost surely, 2^132890625 is an apocalyptic number.

132890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132890625 is an abundant number, since it is smaller than the sum of its proper divisors (151483647).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132890625 is an frugal number, since it uses more digits than its factorization.

132890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 132890625 is about 11527.8196117045. The cubic root of 132890625 is about 510.3069086965.

The spelling of 132890625 in words is "one hundred thirty-two million, eight hundred ninety thousand, six hundred twenty-five".