130867200 has 252 divisors, whose sum is σ = 475369128. Its totient is φ = 34406400.

The previous prime is 130867181. The next prime is 130867237. The reversal of 130867200 is 2768031.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1843165 + ... + 1843235.

Almost surely, 2^130867200 is an apocalyptic number.

130867200 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 130867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237684564).

130867200 is an abundant number, since it is smaller than the sum of its proper divisors (344501928).

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

130867200 is an equidigital number, since it uses as much as digits as its factorization.

130867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

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

The square root of 130867200 is about 11439.7202763005. The cubic root of 130867200 is about 507.7036318729.

The spelling of 130867200 in words is "one hundred thirty million, eight hundred sixty-seven thousand, two hundred".