135500625 has 120 divisors (see below), whose sum is σ = 281441160. Its totient is φ = 62208000.

The previous prime is 135500621. The next prime is 135500653. The reversal of 135500625 is 526005531.

135500625 is a `hidden beast` number, since 1 + 35 + 5 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 131951169 + 3549456 = 11487^2 + 1884^2 .

It is not a de Polignac number, because 135500625 - 2² = 135500621 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135500621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1243071 + ... + 1243179.

It is an arithmetic number, because the mean of its divisors is an integer number (2345343).

Almost surely, 2^135500625 is an apocalyptic number.

135500625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135500625 is an abundant number, since it is smaller than the sum of its proper divisors (145940535).

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

135500625 is a wasteful number, since it uses less digits than its factorization.

135500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 135500625 is about 11640.4735728406. The cubic root of 135500625 is about 513.6261178562.

The spelling of 135500625 in words is "one hundred thirty-five million, five hundred thousand, six hundred twenty-five".