134653613465904 has 320 divisors, whose sum is σ = 408836506788864. Its totient is φ = 37809826725888.

The previous prime is 134653613465849. The next prime is 134653613465909. The reversal of 134653613465904 is 409564316356431.

It is not an unprimeable number, because it can be changed into a prime (134653613465909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61414357 + ... + 63569099.

Almost surely, 2^{134653613465904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134653613465904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204418253394432).

134653613465904 is an abundant number, since it is smaller than the sum of its proper divisors (274182893322960).

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

134653613465904 is a wasteful number, since it uses less digits than its factorization.

134653613465904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154964 (or 2154958 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 60.

The spelling of 134653613465904 in words is "one hundred thirty-four trillion, six hundred fifty-three billion, six hundred thirteen million, four hundred sixty-five thousand, nine hundred four".