130849200 has 180 divisors, whose sum is σ = 478232040. Its totient is φ = 33039360.

The previous prime is 130849193. The next prime is 130849211. The reversal of 130849200 is 2948031.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67444 + ... + 69356.

Almost surely, 2^130849200 is an apocalyptic number.

130849200 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 130849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239116020).

130849200 is an abundant number, since it is smaller than the sum of its proper divisors (347382840).

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

130849200 is a wasteful number, since it uses less digits than its factorization.

130849200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130849200 is about 11438.9335167226. The cubic root of 130849200 is about 507.6803536071.

The spelling of 130849200 in words is "one hundred thirty million, eight hundred forty-nine thousand, two hundred".