13813200 has 120 divisors (see below), whose sum is σ = 49203200. Its totient is φ = 3680640.

The previous prime is 13813181. The next prime is 13813201. The reversal of 13813200 is 231831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813201) 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 23 ways as a sum of consecutive naturals, for example, 10161 + ... + 11439.

Almost surely, 2^13813200 is an apocalyptic number.

13813200 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 13813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24601600).

13813200 is an abundant number, since it is smaller than the sum of its proper divisors (35390000).

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

13813200 is a wasteful number, since it uses less digits than its factorization.

13813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13813200 is about 3716.6113598277. The cubic root of 13813200 is about 239.9374837169.

The spelling of 13813200 in words is "thirteen million, eight hundred thirteen thousand, two hundred".