13540400 has 30 divisors (see below), whose sum is σ = 32531772. Its totient is φ = 5416000.

The previous prime is 13540393. The next prime is 13540411. The reversal of 13540400 is 404531.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 16526 + ... + 17325.

Almost surely, 2^13540400 is an apocalyptic number.

13540400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13540400 is an abundant number, since it is smaller than the sum of its proper divisors (18991372).

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

13540400 is a wasteful number, since it uses less digits than its factorization.

13540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33869 (or 33858 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 13540400 is about 3679.7282508359. The cubic root of 13540400 is about 238.3474434841.

Adding to 13540400 its reverse (404531), we get a palindrome (13944931).

The spelling of 13540400 in words is "thirteen million, five hundred forty thousand, four hundred".