13140800 has 84 divisors (see below), whose sum is σ = 33259776. Its totient is φ = 5107200.

The previous prime is 13140773. The next prime is 13140821. The reversal of 13140800 is 804131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68705 + ... + 68895.

Almost surely, 2^13140800 is an apocalyptic number.

13140800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16629888).

13140800 is an abundant number, since it is smaller than the sum of its proper divisors (20118976).

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

13140800 is a wasteful number, since it uses less digits than its factorization.

13140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 13140800 is about 3625.0241378507. The cubic root of 13140800 is about 235.9793144754.

Adding to 13140800 its reverse (804131), we get a palindrome (13944931).

The spelling of 13140800 in words is "thirteen million, one hundred forty thousand, eight hundred".