130315392 has 80 divisors (see below), whose sum is σ = 387847350. Its totient is φ = 43435008.

The previous prime is 130315331. The next prime is 130315397. The reversal of 130315392 is 293513031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 59351616 = 8424^2 + 7704^2 .

It is a super-2 number, since 2×130315392² = 33964202784227328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130315397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4084 + ... + 16652.

Almost surely, 2^130315392 is an apocalyptic number.

130315392 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 130315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193923675).

130315392 is an abundant number, since it is smaller than the sum of its proper divisors (257531958).

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

130315392 is an equidigital number, since it uses as much as digits as its factorization.

130315392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12595 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 130315392 is about 11415.5767265609. The cubic root of 130315392 is about 506.9890407631.

The spelling of 130315392 in words is "one hundred thirty million, three hundred fifteen thousand, three hundred ninety-two".