130507200 has 420 divisors, whose sum is σ = 514487160. Its totient is φ = 32348160.

The previous prime is 130507183. The next prime is 130507217. The reversal of 130507200 is 2705031.

It is an interprime number because it is at equal distance from previous prime (130507183) and next prime (130507217).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462374 + ... + 2462426.

Almost surely, 2^130507200 is an apocalyptic number.

130507200 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 130507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257243580).

130507200 is an abundant number, since it is smaller than the sum of its proper divisors (383979960).

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

130507200 is a wasteful number, since it uses less digits than its factorization.

130507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 130507200 is about 11423.9747898881. The cubic root of 130507200 is about 507.2376603641.

The spelling of 130507200 in words is "one hundred thirty million, five hundred seven thousand, two hundred".