134313287267712 has 512 divisors, whose sum is σ = 416724175872000. Its totient is φ = 37536215334912.

The previous prime is 134313287267683. The next prime is 134313287267713. The reversal of 134313287267712 is 217762782313431.

134313287267712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134313287267713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64357108333 + ... + 64357110419.

It is an arithmetic number, because the mean of its divisors is an integer number (813914406000).

Almost surely, 2^{134313287267712} is an apocalyptic number.

134313287267712 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 134313287267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208362087936000).

134313287267712 is an abundant number, since it is smaller than the sum of its proper divisors (282410888604288).

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

134313287267712 is a wasteful number, since it uses less digits than its factorization.

134313287267712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3994 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 57.

The spelling of 134313287267712 in words is "one hundred thirty-four trillion, three hundred thirteen billion, two hundred eighty-seven million, two hundred sixty-seven thousand, seven hundred twelve".