130873600 has 243 divisors, whose sum is σ = 385554099. Its totient is φ = 43929600.

The previous prime is 130873583. The next prime is 130873619. The reversal of 130873600 is 6378031.

The square root of 130873600 is 11440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 33732864 + 97140736 = 5808^2 + 9856^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10067194 + ... + 10067206.

Almost surely, 2^130873600 is an apocalyptic number.

130873600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130873600 is the 11440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130873600

130873600 is an abundant number, since it is smaller than the sum of its proper divisors (254680499).

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

130873600 is a wasteful number, since it uses less digits than its factorization.

130873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The cubic root of 130873600 is about 507.7119080752.

The spelling of 130873600 in words is "one hundred thirty million, eight hundred seventy-three thousand, six hundred".