134130681083304 has 768 divisors, whose sum is σ = 392379802214400. Its totient is φ = 41330808078336.

The previous prime is 134130681083263. The next prime is 134130681083309. The reversal of 134130681083304 is 403380186031431.

134130681083304 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 306 + 8 + 1 + 0 + 8 + 330 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134130681083304.

It is not an unprimeable number, because it can be changed into a prime (134130681083309) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186551711857 + ... + 186551712575.

It is an arithmetic number, because the mean of its divisors is an integer number (510911200800).

Almost surely, 2^{134130681083304} 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 134130681083304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196189901107200).

134130681083304 is an abundant number, since it is smaller than the sum of its proper divisors (258249121131096).

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

134130681083304 is a wasteful number, since it uses less digits than its factorization.

134130681083304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 134130681083304 in words is "one hundred thirty-four trillion, one hundred thirty billion, six hundred eighty-one million, eighty-three thousand, three hundred four".