130134400 has 96 divisors (see below), whose sum is σ = 350792280. Its totient is φ = 47308800.

The previous prime is 130134349. The next prime is 130134419. The reversal of 130134400 is 4431031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 33352 + ... + 37048.

Almost surely, 2^130134400 is an apocalyptic number.

130134400 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 130134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175396140).

130134400 is an abundant number, since it is smaller than the sum of its proper divisors (220657880).

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

130134400 is a wasteful number, since it uses less digits than its factorization.

130134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130134400 is about 11407.6465583397. The cubic root of 130134400 is about 506.7542169421.

Adding to 130134400 its reverse (4431031), we get a palindrome (134565431).

The spelling of 130134400 in words is "one hundred thirty million, one hundred thirty-four thousand, four hundred".