130386400 has 72 divisors (see below), whose sum is σ = 319901400. Its totient is φ = 51893760.

The previous prime is 130386397. The next prime is 130386433. The reversal of 130386400 is 4683031.

It is a super-2 number, since 2×130386400² = 34001226609920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 278967 + ... + 279433.

It is an arithmetic number, because the mean of its divisors is an integer number (4443075).

Almost surely, 2^130386400 is an apocalyptic number.

130386400 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 130386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159950700).

130386400 is an abundant number, since it is smaller than the sum of its proper divisors (189515000).

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

130386400 is a wasteful number, since it uses less digits than its factorization.

130386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 130386400 is about 11418.6864393414. The cubic root of 130386400 is about 507.0811090406.

The spelling of 130386400 in words is "one hundred thirty million, three hundred eighty-six thousand, four hundred".