134717593930080 has 192 divisors, whose sum is σ = 484990099776000. Its totient is φ = 30792163590144.

The previous prime is 134717593930069. The next prime is 134717593930081. The reversal of 134717593930080 is 80039395717431.

It is a super-2 number, since 2×134717593930080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 134717593929996 and 134717593930023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134717593930081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283679392 + ... + 284153888.

It is an arithmetic number, because the mean of its divisors is an integer number (2525990103000).

Almost surely, 2^{134717593930080} is an apocalyptic number.

134717593930080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134717593930080 is an abundant number, since it is smaller than the sum of its proper divisors (350272505845920).

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

134717593930080 is a wasteful number, since it uses less digits than its factorization.

134717593930080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559021 (or 559013 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 134717593930080 in words is "one hundred thirty-four trillion, seven hundred seventeen billion, five hundred ninety-three million, nine hundred thirty thousand, eighty".