134813992135680 has 1760 divisors, whose sum is σ = 568457215780608. Its totient is φ = 30120217804800.

The previous prime is 134813992135663. The next prime is 134813992135699. The reversal of 134813992135680 is 86531299318431.

134813992135680 is a `hidden beast` number, since 1 + 3 + 48 + 1 + 3 + 9 + 9 + 21 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48096321159 + ... + 48096323961.

Almost surely, 2^{134813992135680} is an apocalyptic number.

134813992135680 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 134813992135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284228607890304).

134813992135680 is an abundant number, since it is smaller than the sum of its proper divisors (433643223644928).

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

134813992135680 is a wasteful number, since it uses less digits than its factorization.

134813992135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 134813992135680 in words is "one hundred thirty-four trillion, eight hundred thirteen billion, nine hundred ninety-two million, one hundred thirty-five thousand, six hundred eighty".