130876200 has 576 divisors, whose sum is σ = 584962560. Its totient is φ = 25436160.

The previous prime is 130876181. The next prime is 130876201. The reversal of 130876200 is 2678031.

130876200 is a `hidden beast` number, since 1 + 30 + 8 + 7 + 620 + 0 = 666.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (130876201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2784577 + ... + 2784623.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^130876200 is an apocalyptic number.

130876200 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 130876200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

130876200 is an abundant number, since it is smaller than the sum of its proper divisors (454086360).

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

130876200 is a wasteful number, since it uses less digits than its factorization.

130876200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 130876200 is about 11440.1136357993. The cubic root of 130876200 is about 507.7152702053.

The spelling of 130876200 in words is "one hundred thirty million, eight hundred seventy-six thousand, two hundred".