134384326784 has 128 divisors (see below), whose sum is σ = 279546422400. Its totient is φ = 64292659200.

The previous prime is 134384326781. The next prime is 134384326793. The reversal of 134384326784 is 487623483431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (134384326781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88936589 + ... + 88938099.

It is an arithmetic number, because the mean of its divisors is an integer number (2183956425).

Almost surely, 2^134384326784 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 134384326784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139773211200).

134384326784 is an abundant number, since it is smaller than the sum of its proper divisors (145162095616).

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

134384326784 is a wasteful number, since it uses less digits than its factorization.

134384326784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1850 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 53.

The spelling of 134384326784 in words is "one hundred thirty-four billion, three hundred eighty-four million, three hundred twenty-six thousand, seven hundred eighty-four".