134582668080000 has 1280 divisors, whose sum is σ = 540639100108800. Its totient is φ = 28967058432000.

The previous prime is 134582668079957. The next prime is 134582668080001. The reversal of 134582668080000 is 80866285431.

It is a happy number.

It is a super-2 number, since 2×134582668080000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134582668080001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5330627377 + ... + 5330652623.

It is an arithmetic number, because the mean of its divisors is an integer number (422374296960).

Almost surely, 2^{134582668080000} is an apocalyptic number.

134582668080000 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 134582668080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270319550054400).

134582668080000 is an abundant number, since it is smaller than the sum of its proper divisors (406056432028800).

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

134582668080000 is a wasteful number, since it uses less digits than its factorization.

134582668080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25477 (or 25450 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 134582668080000 in words is "one hundred thirty-four trillion, five hundred eighty-two billion, six hundred sixty-eight million, eighty thousand".