132825625 has 15 divisors (see below), whose sum is σ = 166339723. Its totient is φ = 106030000.

The previous prime is 132825601. The next prime is 132825659. The reversal of 132825625 is 526528231.

The square root of 132825625 is 11525.

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

It can be written as a sum of positive squares in 7 ways, for example, as 119836809 + 12988816 = 10947^2 + 3604^2 .

It is not a de Polignac number, because 132825625 - 2¹¹ = 132823577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 287895 + ... + 288355.

Almost surely, 2^132825625 is an apocalyptic number.

132825625 is the 11525-th square number.

132825625 is the 5763-rd centered octagonal number.

It is an amenable number.

132825625 is a deficient number, since it is larger than the sum of its proper divisors (33514098).

132825625 is an frugal number, since it uses more digits than its factorization.

132825625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 466 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The cubic root of 132825625 is about 510.2236940012.

The spelling of 132825625 in words is "one hundred thirty-two million, eight hundred twenty-five thousand, six hundred twenty-five".