13728150585 has 24 divisors (see below), whose sum is σ = 23862897864. Its totient is φ = 7300930560.

The previous prime is 13728150563. The next prime is 13728150643. The reversal of 13728150585 is 58505182731.

13728150585 is a `hidden beast` number, since 1 + 37 + 28 + 15 + 0 + 585 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1381162896 + 12346987689 = 37164^2 + 111117^2 .

It is not a de Polignac number, because 13728150585 - 2¹² = 13728146489 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13728150585.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416226 + ... + 447995.

It is an arithmetic number, because the mean of its divisors is an integer number (994287411).

Almost surely, 2^13728150585 is an apocalyptic number.

13728150585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13728150585 is a deficient number, since it is larger than the sum of its proper divisors (10134747279).

13728150585 is a wasteful number, since it uses less digits than its factorization.

13728150585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864585 (or 864582 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 13728150585 in words is "thirteen billion, seven hundred twenty-eight million, one hundred fifty thousand, five hundred eighty-five".