130041648 has 120 divisors (see below), whose sum is σ = 404773200. Its totient is φ = 38638080.

The previous prime is 130041629. The next prime is 130041677. The reversal of 130041648 is 846140031.

130041648 is a `hidden beast` number, since 13 + 0 + 0 + 4 + 1 + 648 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 83178 + ... + 84726.

It is an arithmetic number, because the mean of its divisors is an integer number (3373110).

Almost surely, 2^130041648 is an apocalyptic number.

130041648 is a gapful number since it is divisible by the number (18) 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 130041648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202386600).

130041648 is an abundant number, since it is smaller than the sum of its proper divisors (274731552).

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

130041648 is a wasteful number, since it uses less digits than its factorization.

130041648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 130041648 is about 11403.5804903548. The cubic root of 130041648 is about 506.6337936505.

Adding to 130041648 its reverse (846140031), we get a palindrome (976181679).

The spelling of 130041648 in words is "one hundred thirty million, forty-one thousand, six hundred forty-eight".