130038400 has 48 divisors (see below), whose sum is σ = 321243390. Its totient is φ = 52014080.

The previous prime is 130038383. The next prime is 130038401. The reversal of 130038400 is 4830031.

It can be written as a sum of positive squares in 3 ways, for example, as 49900096 + 80138304 = 7064^2 + 8952^2 .

It is not an unprimeable number, because it can be changed into a prime (130038401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17119 + ... + 23518.

Almost surely, 2^130038400 is an apocalyptic number.

130038400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130038400 is an abundant number, since it is smaller than the sum of its proper divisors (191204990).

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

130038400 is an equidigital number, since it uses as much as digits as its factorization.

130038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40661 (or 40644 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 130038400 is about 11403.4380780535. The cubic root of 130038400 is about 506.6295756166.

Adding to 130038400 its reverse (4830031), we get a palindrome (134868431).

The spelling of 130038400 in words is "one hundred thirty million, thirty-eight thousand, four hundred".