13801200 has 240 divisors, whose sum is σ = 53139456. Its totient is φ = 2995200.

The previous prime is 13801199. The next prime is 13801213. The reversal of 13801200 is 210831.

It is a happy number.

13801200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13801200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260374 + ... + 260426.

Almost surely, 2^13801200 is an apocalyptic number.

13801200 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 13801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569728).

13801200 is an abundant number, since it is smaller than the sum of its proper divisors (39338256).

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

13801200 is a wasteful number, since it uses less digits than its factorization.

13801200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 13801200 is about 3714.9966352609. The cubic root of 13801200 is about 239.8679829501.

The spelling of 13801200 in words is "thirteen million, eight hundred one thousand, two hundred".