130552800 has 288 divisors, whose sum is σ = 512467200. Its totient is φ = 28200960.

The previous prime is 130552787. The next prime is 130552801. The reversal of 130552800 is 8255031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130552801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318996 + ... + 319404.

It is an arithmetic number, because the mean of its divisors is an integer number (1779400).

Almost surely, 2^130552800 is an apocalyptic number.

130552800 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 130552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256233600).

130552800 is an abundant number, since it is smaller than the sum of its proper divisors (381914400).

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

130552800 is a wasteful number, since it uses less digits than its factorization.

130552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 130552800 is about 11425.9704183058. The cubic root of 130552800 is about 507.2967307804.

The spelling of 130552800 in words is "one hundred thirty million, five hundred fifty-two thousand, eight hundred".