13135634064 has 60 divisors (see below), whose sum is σ = 42013182016. Its totient is φ = 3753038016.

The previous prime is 13135634053. The next prime is 13135634081. The reversal of 13135634064 is 46043653131.

13135634064 is a `hidden beast` number, since 1 + 3 + 13 + 5 + 634 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6514684 + ... + 6516699.

Almost surely, 2^13135634064 is an apocalyptic number.

13135634064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13135634064 is an abundant number, since it is smaller than the sum of its proper divisors (28877547952).

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

13135634064 is a wasteful number, since it uses less digits than its factorization.

13135634064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13031404 (or 13031395 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13135634064 in words is "thirteen billion, one hundred thirty-five million, six hundred thirty-four thousand, sixty-four".