134581576935312 has 480 divisors, whose sum is σ = 444367745727360. Its totient is φ = 38758440591360.

The previous prime is 134581576935301. The next prime is 134581576935317. The reversal of 134581576935312 is 213539675185431.

134581576935312 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 8 + 1 + 5 + 7 + 6 + 93 + 531 + 2 = 666.

It is a super-2 number, since 2×134581576935312² (a number of 29 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 134581576935312.

It is not an unprimeable number, because it can be changed into a prime (134581576935317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293538283 + ... + 293996405.

It is an arithmetic number, because the mean of its divisors is an integer number (925766136932).

Almost surely, 2^{134581576935312} is an apocalyptic number.

134581576935312 is a gapful number since it is divisible by the number (12) 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 134581576935312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222183872863680).

134581576935312 is an abundant number, since it is smaller than the sum of its proper divisors (309786168792048).

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

134581576935312 is a wasteful number, since it uses less digits than its factorization.

134581576935312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458368 (or 458339 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 134581576935312 in words is "one hundred thirty-four trillion, five hundred eighty-one billion, five hundred seventy-six million, nine hundred thirty-five thousand, three hundred twelve".