135965313 has 24 divisors (see below), whose sum is σ = 218814336. Its totient is φ = 80647200.

The previous prime is 135965281. The next prime is 135965317. The reversal of 135965313 is 313569531.

135965313 is a `hidden beast` number, since 1 + 3 + 596 + 53 + 13 = 666.

It is not a de Polignac number, because 135965313 - 2⁵ = 135965281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135965317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9958 + ... + 19263.

It is an arithmetic number, because the mean of its divisors is an integer number (9117264).

Almost surely, 2^135965313 is an apocalyptic number.

It is an amenable number.

135965313 is a deficient number, since it is larger than the sum of its proper divisors (82849023).

135965313 is a wasteful number, since it uses less digits than its factorization.

135965313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29285 (or 29282 counting only the distinct ones).

The product of its digits is 36450, while the sum is 36.

The square root of 135965313 is about 11660.4165019951. The cubic root of 135965313 is about 514.2125938041.

The spelling of 135965313 in words is "one hundred thirty-five million, nine hundred sixty-five thousand, three hundred thirteen".