130361737968 has 600 divisors, whose sum is σ = 469437561216. Its totient is φ = 33487776000.

The previous prime is 130361737963. The next prime is 130361737969. The reversal of 130361737968 is 869737163031.

130361737968 is a `hidden beast` number, since 13 + 0 + 3 + 617 + 3 + 7 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130361737963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 574280671 + ... + 574280897.

Almost surely, 2^130361737968 is an apocalyptic number.

130361737968 is a gapful number since it is divisible by the number (18) 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 130361737968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234718780608).

130361737968 is an abundant number, since it is smaller than the sum of its proper divisors (339075823248).

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

130361737968 is a wasteful number, since it uses less digits than its factorization.

130361737968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 130361737968 in words is "one hundred thirty billion, three hundred sixty-one million, seven hundred thirty-seven thousand, nine hundred sixty-eight".