134414856576 has 768 divisors, whose sum is σ = 532183841280. Its totient is φ = 31430246400.

The previous prime is 134414856559. The next prime is 134414856581. The reversal of 134414856576 is 675658414431.

134414856576 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 4 + 8 + 565 + 76 = 666.

It is a congruent number.

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, 47277811 + ... + 47280653.

It is an arithmetic number, because the mean of its divisors is an integer number (692947710).

Almost surely, 2^134414856576 is an apocalyptic number.

134414856576 is a gapful number since it is divisible by the number (16) 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 134414856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266091920640).

134414856576 is an abundant number, since it is smaller than the sum of its proper divisors (397768984704).

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

134414856576 is a wasteful number, since it uses less digits than its factorization.

134414856576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2920 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 134414856576 in words is "one hundred thirty-four billion, four hundred fourteen million, eight hundred fifty-six thousand, five hundred seventy-six".