134312719413664 has 384 divisors, whose sum is σ = 323274661355520. Its totient is φ = 54204733440000.

The previous prime is 134312719413629. The next prime is 134312719413667. The reversal of 134312719413664 is 466314917213431.

It is not an unprimeable number, because it can be changed into a prime (134312719413667) 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, 6122645704 + ... + 6122667640.

It is an arithmetic number, because the mean of its divisors is an integer number (841861097280).

Almost surely, 2^{134312719413664} 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 134312719413664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161637330677760).

134312719413664 is an abundant number, since it is smaller than the sum of its proper divisors (188961941941856).

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

134312719413664 is a wasteful number, since it uses less digits than its factorization.

134312719413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22804 (or 22796 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 55.

The spelling of 134312719413664 in words is "one hundred thirty-four trillion, three hundred twelve billion, seven hundred nineteen million, four hundred thirteen thousand, six hundred sixty-four".