130812416 has 160 divisors (see below), whose sum is σ = 335871360. Its totient is φ = 49545216.

The previous prime is 130812391. The next prime is 130812439. The reversal of 130812416 is 614218031.

130812416 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×130812416² = 34223776359514112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157576 + ... + 1157688.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 2^130812416 is an apocalyptic number.

130812416 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 130812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

130812416 is an abundant number, since it is smaller than the sum of its proper divisors (205058944).

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

130812416 is a wasteful number, since it uses less digits than its factorization.

130812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 130812416 is about 11437.3255615113. The cubic root of 130812416 is about 507.6327765379.

The spelling of 130812416 in words is "one hundred thirty million, eight hundred twelve thousand, four hundred sixteen".