130437295296 has 672 divisors, whose sum is σ = 463473905664. Its totient is φ = 31614105600.

The previous prime is 130437295283. The next prime is 130437295369. The reversal of 130437295296 is 692592734031.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160834731 + ... + 160835541.

It is an arithmetic number, because the mean of its divisors is an integer number (689693312).

Almost surely, 2^130437295296 is an apocalyptic number.

130437295296 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 130437295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231736952832).

130437295296 is an abundant number, since it is smaller than the sum of its proper divisors (333036610368).

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

130437295296 is a wasteful number, since it uses less digits than its factorization.

130437295296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 130437295296 in words is "one hundred thirty billion, four hundred thirty-seven million, two hundred ninety-five thousand, two hundred ninety-six".