135140625 has 63 divisors (see below), whose sum is σ = 252125679. Its totient is φ = 69750000.

The previous prime is 135140611. The next prime is 135140653. The reversal of 135140625 is 526041531.

The square root of 135140625 is 11625.

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

135140625 is a `hidden beast` number, since 1 + 35 + 1 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 118396161 + 16744464 = 10881^2 + 4092^2 .

It is not a de Polignac number, because 135140625 - 2⁹ = 135140113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4359360 + ... + 4359390.

Almost surely, 2^135140625 is an apocalyptic number.

135140625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135140625 is the 11625-th square number.

135140625 is the 5813-rd centered octagonal number.

It is an amenable number.

135140625 is a deficient number, since it is larger than the sum of its proper divisors (116985054).

135140625 is an frugal number, since it uses more digits than its factorization.

135140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 135140625 is about 513.1708446851.

Multiplying 135140625 by its product of nonzero digits (3600), we get a square (486506250000 = 697500²).

The spelling of 135140625 in words is "one hundred thirty-five million, one hundred forty thousand, six hundred twenty-five".