130813408 has 48 divisors (see below), whose sum is σ = 286965504. Its totient is φ = 58188160.

The previous prime is 130813393. The next prime is 130813421. The reversal of 130813408 is 804318031.

It is a super-2 number, since 2×130813408² = 34224295425148928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12591 + ... + 20497.

It is an arithmetic number, because the mean of its divisors is an integer number (5978448).

Almost surely, 2^130813408 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 130813408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143482752).

130813408 is an abundant number, since it is smaller than the sum of its proper divisors (156152096).

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

130813408 is a wasteful number, since it uses less digits than its factorization.

130813408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 130813408 is about 11437.3689282107. The cubic root of 130813408 is about 507.6340597251.

The spelling of 130813408 in words is "one hundred thirty million, eight hundred thirteen thousand, four hundred eight".