130288816 has 80 divisors (see below), whose sum is σ = 313104960. Its totient is φ = 51240960.

The previous prime is 130288811. The next prime is 130288817. The reversal of 130288816 is 618882031.

It is not an unprimeable number, because it can be changed into a prime (130288811) 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 15 ways as a sum of consecutive naturals, for example, 77230 + ... + 78898.

It is an arithmetic number, because the mean of its divisors is an integer number (3913812).

Almost surely, 2^130288816 is an apocalyptic number.

130288816 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 130288816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156552480).

130288816 is an abundant number, since it is smaller than the sum of its proper divisors (182816144).

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

130288816 is a wasteful number, since it uses less digits than its factorization.

130288816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 130288816 is about 11414.4126436712. The cubic root of 130288816 is about 506.9545739807.

The spelling of 130288816 in words is "one hundred thirty million, two hundred eighty-eight thousand, eight hundred sixteen".