130564 has 12 divisors (see below), whose sum is σ = 261184. Its totient is φ = 55944.

The previous prime is 130553. The next prime is 130579. The reversal of 130564 is 465031.

130564 = 18² + 19² + ... + 73².

130564 is an admirable number.

It is an Ulam number.

It is an unprimeable number.

130564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2304 + ... + 2359.

2¹³⁰⁵⁶⁴ is an apocalyptic number.

130564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

130564 is a wasteful number, since it uses less digits than its factorization.

130564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 130564 is about 361.3364083510. The cubic root of 130564 is about 50.7311237200.

Adding to 130564 its reverse (465031), we get a palindrome (595595).

It can be divided in two parts, 1305 and 64, that added together give a square (1369 = 37²).

The spelling of 130564 in words is "one hundred thirty thousand, five hundred sixty-four".