135313625 has 32 divisors (see below), whose sum is σ = 183744288. Its totient is φ = 99072000.

The previous prime is 135313613. The next prime is 135313631. The reversal of 135313625 is 526313531.

It can be written as a sum of positive squares in 16 ways, for example, as 30946969 + 104366656 = 5563^2 + 10216^2 .

It is not a de Polignac number, because 135313625 - 2¹⁰ = 135312601 is a prime.

It is a super-2 number, since 2×135313625² = 36619554221281250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 77765 + ... + 79485.

It is an arithmetic number, because the mean of its divisors is an integer number (5742009).

Almost surely, 2^135313625 is an apocalyptic number.

It is an amenable number.

135313625 is a deficient number, since it is larger than the sum of its proper divisors (48430663).

135313625 is a wasteful number, since it uses less digits than its factorization.

135313625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1780 counting only the distinct ones).

The product of its digits is 8100, while the sum is 29.

The square root of 135313625 is about 11632.4384803875. The cubic root of 135313625 is about 513.3897295192.

The spelling of 135313625 in words is "one hundred thirty-five million, three hundred thirteen thousand, six hundred twenty-five".