134591136200964 has 45 divisors (see below), whose sum is σ = 351848361841207. Its totient is φ = 44863642458936.

The previous prime is 134591136200959. The next prime is 134591136201013. The reversal of 134591136200964 is 469002631195431.

The square root of 134591136200964 is 11601342.

It is a perfect power (a square), and thus also a powerful number.

134591136200964 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 9 + 1 + 1 + 3 + 620 + 0 + 9 + 6 + 4 = 666.

It is a super-2 number, since 2×134591136200964² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 134591136200964.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 208501897 + ... + 209146415.

Almost surely, 2^{134591136200964} is an apocalyptic number.

134591136200964 is the 11601342-nd square number.

It is an amenable number.

134591136200964 is an abundant number, since it is smaller than the sum of its proper divisors (217257225640243).

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

134591136200964 is an frugal number, since it uses more digits than its factorization.

134591136200964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289054 (or 644524 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

It can be divided in two parts, 134591136 and 200964, that added together give a square (134792100 = 11610²).

The spelling of 134591136200964 in words is "one hundred thirty-four trillion, five hundred ninety-one billion, one hundred thirty-six million, two hundred thousand, nine hundred sixty-four".