130171200 has 168 divisors, whose sum is σ = 436912512. Its totient is φ = 33914880.

The previous prime is 130171199. The next prime is 130171213. The reversal of 130171200 is 2171031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130171200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225312 + ... + 225888.

Almost surely, 2^130171200 is an apocalyptic number.

130171200 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 130171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218456256).

130171200 is an abundant number, since it is smaller than the sum of its proper divisors (306741312).

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

130171200 is a wasteful number, since it uses less digits than its factorization.

130171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 130171200 is about 11409.2593975245. The cubic root of 130171200 is about 506.8019798642.

The spelling of 130171200 in words is "one hundred thirty million, one hundred seventy-one thousand, two hundred".