13580128 has 24 divisors (see below), whose sum is σ = 27063288. Its totient is φ = 6706944.

The previous prime is 13580113. The next prime is 13580153. The reversal of 13580128 is 82108531.

It is a super-3 number, since 3×13580128³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13580096 and 13580105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100 + ... + 5212.

It is an arithmetic number, because the mean of its divisors is an integer number (1127637).

Almost surely, 2^13580128 is an apocalyptic number.

It is an amenable number.

13580128 is a deficient number, since it is larger than the sum of its proper divisors (13483160).

13580128 is an equidigital number, since it uses as much as digits as its factorization.

13580128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 13580128 is about 3685.1225217081. The cubic root of 13580128 is about 238.5803224105.

Adding to 13580128 its reverse (82108531), we get a palindrome (95688659).

The spelling of 13580128 in words is "thirteen million, five hundred eighty thousand, one hundred twenty-eight".