134481713184 has 576 divisors, whose sum is σ = 509403009024. Its totient is φ = 33921524736.

The previous prime is 134481713167. The next prime is 134481713213. The reversal of 134481713184 is 481317184431.

134481713184 is a `hidden beast` number, since 1 + 3 + 448 + 17 + 13 + 184 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16271037 + ... + 16279299.

It is an arithmetic number, because the mean of its divisors is an integer number (884380224).

Almost surely, 2^134481713184 is an apocalyptic number.

134481713184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134481713184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254701504512).

134481713184 is an abundant number, since it is smaller than the sum of its proper divisors (374921295840).

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

134481713184 is a wasteful number, since it uses less digits than its factorization.

134481713184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8331 (or 8311 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 134481713184 in words is "one hundred thirty-four billion, four hundred eighty-one million, seven hundred thirteen thousand, one hundred eighty-four".