130541800 has 48 divisors (see below), whose sum is σ = 304891200. Its totient is φ = 51979200.

The previous prime is 130541783. The next prime is 130541839. The reversal of 130541800 is 8145031.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46435 + ... + 49165.

It is an arithmetic number, because the mean of its divisors is an integer number (6351900).

Almost surely, 2^130541800 is an apocalyptic number.

130541800 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 130541800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152445600).

130541800 is an abundant number, since it is smaller than the sum of its proper divisors (174349400).

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

130541800 is a wasteful number, since it uses less digits than its factorization.

130541800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 130541800 is about 11425.4890486141. The cubic root of 130541800 is about 507.2824825968.

Adding to 130541800 its reverse (8145031), we get a palindrome (138686831).

The spelling of 130541800 in words is "one hundred thirty million, five hundred forty-one thousand, eight hundred".