130307415 has 128 divisors (see below), whose sum is σ = 270336000. Its totient is φ = 53343360.

The previous prime is 130307399. The next prime is 130307417. The reversal of 130307415 is 514703031.

It is not a de Polignac number, because 130307415 - 2⁴ = 130307399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130307417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3030384 + ... + 3030426.

It is an arithmetic number, because the mean of its divisors is an integer number (2112000).

Almost surely, 2^130307415 is an apocalyptic number.

130307415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130307415 is an abundant number, since it is smaller than the sum of its proper divisors (140028585).

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

130307415 is a wasteful number, since it uses less digits than its factorization.

130307415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 130307415 is about 11415.2273301936. The cubic root of 130307415 is about 506.9786957735.

The spelling of 130307415 in words is "one hundred thirty million, three hundred seven thousand, four hundred fifteen".