13281456 has 40 divisors (see below), whose sum is σ = 36118720. Its totient is φ = 4193856.

The previous prime is 13281451. The next prime is 13281461. The reversal of 13281456 is 65418231.

It is an interprime number because it is at equal distance from previous prime (13281451) and next prime (13281461).

It is not an unprimeable number, because it can be changed into a prime (13281451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6370 + ... + 8193.

It is an arithmetic number, because the mean of its divisors is an integer number (902968).

Almost surely, 2^13281456 is an apocalyptic number.

13281456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13281456 is an abundant number, since it is smaller than the sum of its proper divisors (22837264).

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

13281456 is a wasteful number, since it uses less digits than its factorization.

13281456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14593 (or 14587 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 13281456 is about 3644.3731971356. The cubic root of 13281456 is about 236.8182836808.

Adding to 13281456 its reverse (65418231), we get a palindrome (78699687).

It can be divided in two parts, 132814 and 56, that added together give a triangular number (132870 = T₅₁₅).

The spelling of 13281456 in words is "thirteen million, two hundred eighty-one thousand, four hundred fifty-six".