130759200 has 432 divisors, whose sum is σ = 545965056. Its totient is φ = 29030400.

The previous prime is 130759183. The next prime is 130759207. The reversal of 130759200 is 2957031.

It is not an unprimeable number, because it can be changed into a prime (130759207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1029537 + ... + 1029663.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^130759200 is an apocalyptic number.

130759200 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 130759200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

130759200 is an abundant number, since it is smaller than the sum of its proper divisors (415205856).

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

130759200 is a wasteful number, since it uses less digits than its factorization.

130759200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 130759200 is about 11434.9989068648. The cubic root of 130759200 is about 507.5639302446.

The spelling of 130759200 in words is "one hundred thirty million, seven hundred fifty-nine thousand, two hundred".