134088855264 has 576 divisors, whose sum is σ = 488104501248. Its totient is φ = 33965568000.

The previous prime is 134088855179. The next prime is 134088855283. The reversal of 134088855264 is 462558880431.

134088855264 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 8 + 88 + 552 + 6 + 4 = 666.

It is a super-2 number, since 2×134088855264² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134088855264.

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, 122679102 + ... + 122680194.

It is an arithmetic number, because the mean of its divisors is an integer number (847403648).

Almost surely, 2^134088855264 is an apocalyptic number.

134088855264 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 134088855264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244052250624).

134088855264 is an abundant number, since it is smaller than the sum of its proper divisors (354015645984).

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

134088855264 is a wasteful number, since it uses less digits than its factorization.

134088855264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 134088855264 in words is "one hundred thirty-four billion, eighty-eight million, eight hundred fifty-five thousand, two hundred sixty-four".