135585353 has 16 divisors (see below), whose sum is σ = 152545680. Its totient is φ = 119863296.

The previous prime is 135585343. The next prime is 135585367. The reversal of 135585353 is 353585531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1882384 + 133702969 = 1372^2 + 11563^2 .

It is a cyclic number.

It is not a de Polignac number, because 135585353 - 2⁴ = 135585337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135585313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14525 + ... + 21957.

It is an arithmetic number, because the mean of its divisors is an integer number (9534105).

Almost surely, 2^135585353 is an apocalyptic number.

It is an amenable number.

135585353 is a deficient number, since it is larger than the sum of its proper divisors (16960327).

135585353 is a wasteful number, since it uses less digits than its factorization.

135585353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516.

The product of its digits is 135000, while the sum is 38.

The square root of 135585353 is about 11644.1123749301. The cubic root of 135585353 is about 513.7331516705.

The spelling of 135585353 in words is "one hundred thirty-five million, five hundred eighty-five thousand, three hundred fifty-three".