130075200 has 168 divisors, whose sum is σ = 474329760. Its totient is φ = 34675200.

The previous prime is 130075151. The next prime is 130075201. The reversal of 130075200 is 2570031.

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

It is not an unprimeable number, because it can be changed into a prime (130075201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41695 + ... + 44705.

Almost surely, 2^130075200 is an apocalyptic number.

130075200 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 130075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237164880).

130075200 is an abundant number, since it is smaller than the sum of its proper divisors (344254560).

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

130075200 is a wasteful number, since it uses less digits than its factorization.

130075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3021 counting only the distinct ones).

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

The square root of 130075200 is about 11405.0515123782. The cubic root of 130075200 is about 506.6773620395.

The spelling of 130075200 in words is "one hundred thirty million, seventy-five thousand, two hundred".