130504400 has 60 divisors (see below), whose sum is σ = 337668492. Its totient is φ = 48184320.

The previous prime is 130504397. The next prime is 130504403. The reversal of 130504400 is 4405031.

It is an interprime number because it is at equal distance from previous prime (130504397) and next prime (130504403).

It can be written as a sum of positive squares in 6 ways, for example, as 24167056 + 106337344 = 4916^2 + 10312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130504403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7349 + ... + 17748.

Almost surely, 2^130504400 is an apocalyptic number.

130504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130504400 is an abundant number, since it is smaller than the sum of its proper divisors (207164092).

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

130504400 is a wasteful number, since it uses less digits than its factorization.

130504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25128 (or 25117 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 130504400 is about 11423.8522399408. The cubic root of 130504400 is about 507.2340327849.

Adding to 130504400 its reverse (4405031), we get a palindrome (134909431).

The spelling of 130504400 in words is "one hundred thirty million, five hundred four thousand, four hundred".