13812300 has 108 divisors (see below), whose sum is σ = 44007600. Its totient is φ = 3623040.

The previous prime is 13812289. The next prime is 13812301. The reversal of 13812300 is 321831.

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 (13812301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92626 + ... + 92774.

Almost surely, 2^13812300 is an apocalyptic number.

13812300 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 13812300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22003800).

13812300 is an abundant number, since it is smaller than the sum of its proper divisors (30195300).

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

13812300 is a wasteful number, since it uses less digits than its factorization.

13812300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

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

The square root of 13812300 is about 3716.4902798205. The cubic root of 13812300 is about 239.9322725559.

The spelling of 13812300 in words is "thirteen million, eight hundred twelve thousand, three hundred".