130014400 has 84 divisors (see below), whose sum is σ = 333920592. Its totient is φ = 49730560.

The previous prime is 130014349. The next prime is 130014407. The reversal of 130014400 is 4410031.

It is not an unprimeable number, because it can be changed into a prime (130014407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35034 + ... + 38566.

Almost surely, 2^130014400 is an apocalyptic number.

130014400 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 130014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166960296).

130014400 is an abundant number, since it is smaller than the sum of its proper divisors (203906192).

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

130014400 is a wasteful number, since it uses less digits than its factorization.

130014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 130014400 is about 11402.3857152791. The cubic root of 130014400 is about 506.5984057008.

Adding to 130014400 its reverse (4410031), we get a palindrome (134424431).

The spelling of 130014400 in words is "one hundred thirty million, fourteen thousand, four hundred".