130342064167296 has 320 divisors, whose sum is σ = 419346910950000. Its totient is φ = 40048199553024.

The previous prime is 130342064167177. The next prime is 130342064167331. The reversal of 130342064167296 is 692761460243031.

130342064167296 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 420 + 64 + 1 + 6 + 72 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1652671 + ... + 16230078.

Almost surely, 2^{130342064167296} is an apocalyptic number.

130342064167296 is a gapful number since it is divisible by the number (16) 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 130342064167296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209673455475000).

130342064167296 is an abundant number, since it is smaller than the sum of its proper divisors (289004846782704).

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

130342064167296 is a wasteful number, since it uses less digits than its factorization.

130342064167296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17882831 (or 17882810 counting only the distinct ones).

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

The spelling of 130342064167296 in words is "one hundred thirty trillion, three hundred forty-two billion, sixty-four million, one hundred sixty-seven thousand, two hundred ninety-six".