127334936682 has 64 divisors (see below), whose sum is σ = 286050240000. Its totient is φ = 41982935040.

The previous prime is 127334936609. The next prime is 127334936699. The reversal of 127334936682 is 286639433721.

127334936682 is a `hidden beast` number, since 1 + 2 + 73 + 3 + 493 + 6 + 6 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10464682 + ... + 10476842.

It is an arithmetic number, because the mean of its divisors is an integer number (4469535000).

Almost surely, 2^127334936682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127334936682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143025120000).

127334936682 is an abundant number, since it is smaller than the sum of its proper divisors (158715303318).

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

127334936682 is a wasteful number, since it uses less digits than its factorization.

127334936682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14268 (or 14262 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 127334936682 in words is "one hundred twenty-seven billion, three hundred thirty-four million, nine hundred thirty-six thousand, six hundred eighty-two".