130001782960 has 80 divisors (see below), whose sum is σ = 347721172992. Its totient is φ = 44276832000.

The previous prime is 130001782949. The next prime is 130001782969. The reversal of 130001782960 is 69287100031.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (130001782969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684136 + ... + 853255.

Almost surely, 2^130001782960 is an apocalyptic number.

130001782960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130001782960 is an abundant number, since it is smaller than the sum of its proper divisors (217719390032).

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

130001782960 is a wasteful number, since it uses less digits than its factorization.

130001782960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537562 (or 1537556 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

Adding to 130001782960 its reverse (69287100031), we get a palindrome (199288882991).

The spelling of 130001782960 in words is "one hundred thirty billion, one million, seven hundred eighty-two thousand, nine hundred sixty".