132135025 has 45 divisors (see below), whose sum is σ = 190216155. Its totient is φ = 91040400.

The previous prime is 132135019. The next prime is 132135041. The reversal of 132135025 is 520531231.

132135025 = 1985² + 1986² + ... + 2017².

The square root of 132135025 is 11495.

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

It can be written as a sum of positive squares in only one way, i.e., 47568609 + 84566416 = 6897^2 + 9196^2 .

It is not a de Polignac number, because 132135025 - 2¹³ = 132126833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132134987 and 132135005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6954466 + ... + 6954484.

Almost surely, 2^132135025 is an apocalyptic number.

132135025 is the 11495-th square number.

132135025 is the 5748-th centered octagonal number.

It is an amenable number.

132135025 is a deficient number, since it is larger than the sum of its proper divisors (58081130).

132135025 is an frugal number, since it uses more digits than its factorization.

132135025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The cubic root of 132135025 is about 509.3378886985.

Multiplying 132135025 by its product of nonzero digits (900), we get a square (118921522500 = 344850²).

Adding to 132135025 its reverse (520531231), we get a palindrome (652666256).

The spelling of 132135025 in words is "one hundred thirty-two million, one hundred thirty-five thousand, twenty-five".