130005568 has 224 divisors, whose sum is σ = 355811328. Its totient is φ = 45619200.

The previous prime is 130005563. The next prime is 130005569. The reversal of 130005568 is 865500031.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×130005568² = 33802895422005248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (130005563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3513646 + ... + 3513682.

Almost surely, 2^130005568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177905664).

130005568 is an abundant number, since it is smaller than the sum of its proper divisors (225805760).

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

130005568 is a wasteful number, since it uses less digits than its factorization.

130005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 130005568 is about 11401.9984213295. The cubic root of 130005568 is about 506.5869342063.

Adding to 130005568 its reverse (865500031), we get a palindrome (995505599).

The spelling of 130005568 in words is "one hundred thirty million, five thousand, five hundred sixty-eight".