134564040325056 has 56 divisors (see below), whose sum is σ = 356059631491200. Its totient is φ = 44851453887232.

The previous prime is 134564040324997. The next prime is 134564040325063. The reversal of 134564040325056 is 650523040465431.

134564040325056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×134564040325056³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 134564040324996 and 134564040325014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22527756 + ... + 27868043.

It is an arithmetic number, because the mean of its divisors is an integer number (6358207705200).

Almost surely, 2^{134564040325056} is an apocalyptic number.

134564040325056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134564040325056 is an abundant number, since it is smaller than the sum of its proper divisors (221495591166144).

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

134564040325056 is a wasteful number, since it uses less digits than its factorization.

134564040325056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50409721 (or 50409711 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 134564040325056 in words is "one hundred thirty-four trillion, five hundred sixty-four billion, forty million, three hundred twenty-five thousand, fifty-six".