13544128 has 56 divisors (see below), whose sum is σ = 29472128. Its totient is φ = 6137856.

The previous prime is 13544123. The next prime is 13544137. The reversal of 13544128 is 82144531.

It is a junction number, because it is equal to n+sod(n) for n = 13544096 and 13544105.

It is not an unprimeable number, because it can be changed into a prime (13544123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60625 + ... + 60847.

It is an arithmetic number, because the mean of its divisors is an integer number (526288).

Almost surely, 2^13544128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736064).

13544128 is an abundant number, since it is smaller than the sum of its proper divisors (15928000).

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

13544128 is a wasteful number, since it uses less digits than its factorization.

13544128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 13544128 is about 3680.2347751197. The cubic root of 13544128 is about 238.3693157511.

Adding to 13544128 its reverse (82144531), we get a palindrome (95688659).

The spelling of 13544128 in words is "thirteen million, five hundred forty-four thousand, one hundred twenty-eight".