130837318656 has 352 divisors, whose sum is σ = 402733264896. Its totient is φ = 37373952000.

The previous prime is 130837318649. The next prime is 130837318721. The reversal of 130837318656 is 656813738031.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 130837318599 and 130837318608.

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, 55181151 + ... + 55183521.

Almost surely, 2^130837318656 is an apocalyptic number.

130837318656 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 130837318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201366632448).

130837318656 is an abundant number, since it is smaller than the sum of its proper divisors (271895946240).

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

130837318656 is a wasteful number, since it uses less digits than its factorization.

130837318656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 130837318656 in words is "one hundred thirty billion, eight hundred thirty-seven million, three hundred eighteen thousand, six hundred fifty-six".