130464312 has 64 divisors (see below), whose sum is σ = 357125760. Its totient is φ = 39388800.

The previous prime is 130464311. The next prime is 130464319. The reversal of 130464312 is 213464031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130464311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86638 + ... + 88130.

It is an arithmetic number, because the mean of its divisors is an integer number (5580090).

Almost surely, 2^130464312 is an apocalyptic number.

130464312 is a gapful number since it is divisible by the number (12) 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 130464312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178562880).

130464312 is an abundant number, since it is smaller than the sum of its proper divisors (226661448).

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

130464312 is a wasteful number, since it uses less digits than its factorization.

130464312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 130464312 is about 11422.0975306640. The cubic root of 130464312 is about 507.1820905252.

The spelling of 130464312 in words is "one hundred thirty million, four hundred sixty-four thousand, three hundred twelve".