130202800 has 240 divisors, whose sum is σ = 398238400. Its totient is φ = 40642560.

The previous prime is 130202791. The next prime is 130202803. The reversal of 130202800 is 8202031.

It is a happy number.

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 (130202803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1783564 + ... + 1783636.

Almost surely, 2^130202800 is an apocalyptic number.

130202800 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 130202800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199119200).

130202800 is an abundant number, since it is smaller than the sum of its proper divisors (268035600).

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

130202800 is a wasteful number, since it uses less digits than its factorization.

130202800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 130202800 is about 11410.6441535962. The cubic root of 130202800 is about 506.8429864945.

Adding to 130202800 its reverse (8202031), we get a palindrome (138404831).

The spelling of 130202800 in words is "one hundred thirty million, two hundred two thousand, eight hundred".