130561600 has 84 divisors (see below), whose sum is σ = 346030804. Its totient is φ = 48199680.

The previous prime is 130561583. The next prime is 130561601. The reversal of 130561600 is 6165031.

It can be written as a sum of positive squares in 6 ways, for example, as 53824 + 130507776 = 232^2 + 11424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130561601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17662 + ... + 23938.

Almost surely, 2^130561600 is an apocalyptic number.

130561600 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 130561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173015402).

130561600 is an abundant number, since it is smaller than the sum of its proper divisors (215469204).

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

130561600 is a wasteful number, since it uses less digits than its factorization.

130561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 130561600 is about 11426.3554994583. The cubic root of 130561600 is about 507.3081287510.

The spelling of 130561600 in words is "one hundred thirty million, five hundred sixty-one thousand, six hundred".