130214400 has 120 divisors (see below), whose sum is σ = 430281984. Its totient is φ = 34713600.

The previous prime is 130214389. The next prime is 130214411. The reversal of 130214400 is 4412031.

It is an interprime number because it is at equal distance from previous prime (130214389) and next prime (130214411).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130214400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36705 + ... + 40095.

Almost surely, 2^130214400 is an apocalyptic number.

130214400 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 130214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215140992).

130214400 is an abundant number, since it is smaller than the sum of its proper divisors (300067584).

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

130214400 is an equidigital number, since it uses as much as digits as its factorization.

130214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 130214400 is about 11411.1524396092. The cubic root of 130214400 is about 506.8580378965.

Adding to 130214400 its reverse (4412031), we get a palindrome (134626431).

The spelling of 130214400 in words is "one hundred thirty million, two hundred fourteen thousand, four hundred".