130338585 has 64 divisors (see below), whose sum is σ = 260467200. Its totient is φ = 61357824.

The previous prime is 130338583. The next prime is 130338589. The reversal of 130338585 is 585833031.

130338585 is a nontrivial binomial coefficient, being equal to C(16146, 2).

It is not a de Polignac number, because 130338585 - 2¹ = 130338583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130338583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38751 + ... + 41979.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2^130338585 is an apocalyptic number.

130338585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130338585 is the 16145-th triangular number and also the 8073-rd hexagonal number.

It is an amenable number.

130338585 is a deficient number, since it is larger than the sum of its proper divisors (130128615).

130338585 is a wasteful number, since it uses less digits than its factorization.

130338585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 130338585 is about 11416.5925301729. The cubic root of 130338585 is about 507.0191162569.

The spelling of 130338585 in words is "one hundred thirty million, three hundred thirty-eight thousand, five hundred eighty-five".