130073600 has 66 divisors (see below), whose sum is σ = 322488474. Its totient is φ = 52019200.

The previous prime is 130073597. The next prime is 130073609. The reversal of 130073600 is 6370031.

It can be written as a sum of positive squares in 3 ways, for example, as 295936 + 129777664 = 544^2 + 11392^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130073609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23060 + ... + 28140.

It is an arithmetic number, because the mean of its divisors is an integer number (4886189).

Almost surely, 2^130073600 is an apocalyptic number.

130073600 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 130073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161244237).

130073600 is an abundant number, since it is smaller than the sum of its proper divisors (192414874).

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

130073600 is an equidigital number, since it uses as much as digits as its factorization.

130073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 130073600 is about 11404.9813678059. The cubic root of 130073600 is about 506.6752845564.

The spelling of 130073600 in words is "one hundred thirty million, seventy-three thousand, six hundred".