130838400 has 576 divisors, whose sum is σ = 591926400. Its totient is φ = 26726400.

The previous prime is 130838359. The next prime is 130838413. The reversal of 130838400 is 4838031.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217571 + ... + 2217629.

It is an arithmetic number, because the mean of its divisors is an integer number (1027650).

Almost surely, 2^130838400 is an apocalyptic number.

130838400 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 130838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295963200).

130838400 is an abundant number, since it is smaller than the sum of its proper divisors (461088000).

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

130838400 is a wasteful number, since it uses less digits than its factorization.

130838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 130838400 is about 11438.4614350008. The cubic root of 130838400 is about 507.6663856229. Note that the first 3 decimals are identical.

The spelling of 130838400 in words is "one hundred thirty million, eight hundred thirty-eight thousand, four hundred".