130252800 has 192 divisors, whose sum is σ = 438822360. Its totient is φ = 34078720.

The previous prime is 130252789. The next prime is 130252807. The reversal of 130252800 is 8252031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130252807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457574 + ... + 2457626.

Almost surely, 2^130252800 is an apocalyptic number.

130252800 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 130252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219411180).

130252800 is an abundant number, since it is smaller than the sum of its proper divisors (308569560).

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

130252800 is an frugal number, since it uses more digits than its factorization.

130252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 130252800 is about 11412.8348800813. The cubic root of 130252800 is about 506.9078568508.

The spelling of 130252800 in words is "one hundred thirty million, two hundred fifty-two thousand, eight hundred".