130457328768 has 384 divisors, whose sum is σ = 422724556800. Its totient is φ = 38343352320.

The previous prime is 130457328763. The next prime is 130457328817. The reversal of 130457328768 is 867823754031.

It is a happy number.

130457328768 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 573 + 2 + 8 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×130457328768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130457328763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36674446 + ... + 36678002.

It is an arithmetic number, because the mean of its divisors is an integer number (1100845200).

Almost surely, 2^130457328768 is an apocalyptic number.

130457328768 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 130457328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211362278400).

130457328768 is an abundant number, since it is smaller than the sum of its proper divisors (292267228032).

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

130457328768 is a wasteful number, since it uses less digits than its factorization.

130457328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 130457328768 in words is "one hundred thirty billion, four hundred fifty-seven million, three hundred twenty-eight thousand, seven hundred sixty-eight".