135636065124264 has 48 divisors (see below), whose sum is σ = 370984782104820. Its totient is φ = 44764377926400.

The previous prime is 135636065124253. The next prime is 135636065124299. The reversal of 135636065124264 is 462421560636531.

135636065124264 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 60 + 6 + 512 + 4 + 2 + 64 = 666.

135636065124264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129730961002500 + 5905104121764 = 11389950^2 + 2430042^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135636065124264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9325904797 + ... + 9325919340.

Almost surely, 2^{135636065124264} is an apocalyptic number.

It is an amenable number.

135636065124264 is an abundant number, since it is smaller than the sum of its proper divisors (235348716980556).

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

135636065124264 is a wasteful number, since it uses less digits than its factorization.

135636065124264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18651824250 (or 18651824243 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 135636065124264 in words is "one hundred thirty-five trillion, six hundred thirty-six billion, sixty-five million, one hundred twenty-four thousand, two hundred sixty-four".