130816064 has 56 divisors (see below), whose sum is σ = 275234400. Its totient is φ = 61516800.

The previous prime is 130816057. The next prime is 130816069. The reversal of 130816064 is 460618031.

It is a super-2 number, since 2×130816064² = 34225685200904192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130816069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217364 + ... + 217964.

It is an arithmetic number, because the mean of its divisors is an integer number (4914900).

Almost surely, 2^130816064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137617200).

130816064 is an abundant number, since it is smaller than the sum of its proper divisors (144418336).

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

130816064 is a wasteful number, since it uses less digits than its factorization.

130816064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 130816064 is about 11437.4850382416. The cubic root of 130816064 is about 507.6374953233.

The spelling of 130816064 in words is "one hundred thirty million, eight hundred sixteen thousand, sixty-four".