130785200 has 120 divisors (see below), whose sum is σ = 386829408. Its totient is φ = 41379840.

The previous prime is 130785191. The next prime is 130785209. The reversal of 130785200 is 2587031.

It is an interprime number because it is at equal distance from previous prime (130785191) and next prime (130785209).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 130785200.

It is not an unprimeable number, because it can be changed into a prime (130785209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34604 + ... + 38196.

Almost surely, 2^130785200 is an apocalyptic number.

130785200 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 130785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193414704).

130785200 is an abundant number, since it is smaller than the sum of its proper divisors (256044208).

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

130785200 is a wasteful number, since it uses less digits than its factorization.

130785200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 130785200 is about 11436.1357109821. The cubic root of 130785200 is about 507.5975691462.

The spelling of 130785200 in words is "one hundred thirty million, seven hundred eighty-five thousand, two hundred".