134057334960 has 320 divisors, whose sum is σ = 477329448960. Its totient is φ = 34546037760.

The previous prime is 134057334959. The next prime is 134057334997. The reversal of 134057334960 is 69433750431.

134057334960 is a `hidden beast` number, since 1 + 3 + 40 + 573 + 34 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81891262 + ... + 81892898.

It is an arithmetic number, because the mean of its divisors is an integer number (1491654528).

Almost surely, 2^134057334960 is an apocalyptic number.

134057334960 is a gapful number since it is divisible by the number (10) 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 134057334960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238664724480).

134057334960 is an abundant number, since it is smaller than the sum of its proper divisors (343272114000).

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

134057334960 is a wasteful number, since it uses less digits than its factorization.

134057334960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 134057334960 in words is "one hundred thirty-four billion, fifty-seven million, three hundred thirty-four thousand, nine hundred sixty".