13126400 has 108 divisors (see below), whose sum is σ = 37258032. Its totient is φ = 4485120.

The previous prime is 13126391. The next prime is 13126417. The reversal of 13126400 is 462131.

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, 44654 + ... + 44946.

Almost surely, 2^13126400 is an apocalyptic number.

13126400 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 13126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629016).

13126400 is an abundant number, since it is smaller than the sum of its proper divisors (24131632).

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

13126400 is an equidigital number, since it uses as much as digits as its factorization.

13126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13126400 is about 3623.0373997518. The cubic root of 13126400 is about 235.8930857292.

Adding to 13126400 its reverse (462131), we get a palindrome (13588531).

The spelling of 13126400 in words is "thirteen million, one hundred twenty-six thousand, four hundred".