130202400 has 72 divisors (see below), whose sum is σ = 423816624. Its totient is φ = 34720000.

The previous prime is 130202399. The next prime is 130202407. The reversal of 130202400 is 4202031.

130202400 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (130202407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24726 + ... + 29525.

It is an arithmetic number, because the mean of its divisors is an integer number (5886342).

Almost surely, 2^130202400 is an apocalyptic number.

130202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130202400 is an abundant number, since it is smaller than the sum of its proper divisors (293614224).

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

130202400 is a wasteful number, since it uses less digits than its factorization.

130202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54274 (or 54261 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 130202400 is about 11410.6266260885. The cubic root of 130202400 is about 506.8424674647.

Adding to 130202400 its reverse (4202031), we get a palindrome (134404431).

The spelling of 130202400 in words is "one hundred thirty million, two hundred two thousand, four hundred".