135136017608319 has 40 divisors (see below), whose sum is σ = 248455204277280. Its totient is φ = 71280536756544.

The previous prime is 135136017608261. The next prime is 135136017608323. The reversal of 135136017608319 is 913806710631531.

135136017608319 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 6 + 0 + 17 + 608 + 3 + 19 = 666.

It is not a de Polignac number, because 135136017608319 - 2⁸ = 135136017608063 is a prime.

It is a super-2 number, since 2×135136017608319² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135136017648319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9166728324 + ... + 9166743065.

It is an arithmetic number, because the mean of its divisors is an integer number (6211380106932).

Almost surely, 2^{135136017608319} is an apocalyptic number.

135136017608319 is a deficient number, since it is larger than the sum of its proper divisors (113319186668961).

135136017608319 is a wasteful number, since it uses less digits than its factorization.

135136017608319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18333471421 (or 18333471412 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 135136017608319 in words is "one hundred thirty-five trillion, one hundred thirty-six billion, seventeen million, six hundred eight thousand, three hundred nineteen".