130918400 has 72 divisors (see below), whose sum is σ = 324725310. Its totient is φ = 52346880.

The previous prime is 130918397. The next prime is 130918409. The reversal of 130918400 is 4819031.

It can be written as a sum of positive squares in 3 ways, for example, as 92775424 + 38142976 = 9632^2 + 6176^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 130918400.

It is not an unprimeable number, because it can be changed into a prime (130918409) 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 5 ways as a sum of consecutive naturals, for example, 49922 + ... + 52478.

Almost surely, 2^130918400 is an apocalyptic number.

130918400 is a gapful number since it is divisible by the number (10) 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 130918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162362655).

130918400 is an abundant number, since it is smaller than the sum of its proper divisors (193806910).

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

130918400 is an equidigital number, since it uses as much as digits as its factorization.

130918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 130918400 is about 11441.9578744199. The cubic root of 130918400 is about 507.7698339380.

The spelling of 130918400 in words is "one hundred thirty million, nine hundred eighteen thousand, four hundred".