135074625625 has 45 divisors (see below), whose sum is σ = 172316644929. Its totient is φ = 105847200000.

The previous prime is 135074625611. The next prime is 135074625629. The reversal of 135074625625 is 526526470531.

It is a happy number.

The square root of 135074625625 is 367525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 89002578889 + 46072046736 = 298333^2 + 214644^2 .

It is not a de Polignac number, because 135074625625 - 2³⁵ = 100714887257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135074625629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 560475505 + ... + 560475745.

Almost surely, 2^135074625625 is an apocalyptic number.

135074625625 is the 367525-th square number.

135074625625 is the 183763-rd centered octagonal number.

It is an amenable number.

135074625625 is a deficient number, since it is larger than the sum of its proper divisors (37242019304).

135074625625 is an frugal number, since it uses more digits than its factorization.

135074625625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 135074625625 in words is "one hundred thirty-five billion, seventy-four million, six hundred twenty-five thousand, six hundred twenty-five".