13831200 has 216 divisors, whose sum is σ = 52098228. Its totient is φ = 3440640.

The previous prime is 13831163. The next prime is 13831247. The reversal of 13831200 is 213831.

It can be written as a sum of positive squares in 6 ways, for example, as 2782224 + 11048976 = 1668^2 + 3324^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122344 + ... + 122456.

Almost surely, 2^13831200 is an apocalyptic number.

13831200 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 13831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26049114).

13831200 is an abundant number, since it is smaller than the sum of its proper divisors (38267028).

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

13831200 is a wasteful number, since it uses less digits than its factorization.

13831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

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

The square root of 13831200 is about 3719.0321321548. The cubic root of 13831200 is about 240.0416594350.

The spelling of 13831200 in words is "thirteen million, eight hundred thirty-one thousand, two hundred".