130224400 has 60 divisors (see below), whose sum is σ = 314054800. Its totient is φ = 51891840.

The previous prime is 130224389. The next prime is 130224407. The reversal of 130224400 is 4422031.

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

It is not an unprimeable number, because it can be changed into a prime (130224407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151171 + ... + 152029.

Almost surely, 2^130224400 is an apocalyptic number.

130224400 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 130224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157027400).

130224400 is an abundant number, since it is smaller than the sum of its proper divisors (183830400).

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

130224400 is a wasteful number, since it uses less digits than its factorization.

130224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 130224400 is about 11411.5905990357. The cubic root of 130224400 is about 506.8710125256.

Adding to 130224400 its reverse (4422031), we get a palindrome (134646431).

The spelling of 130224400 in words is "one hundred thirty million, two hundred twenty-four thousand, four hundred".