1138200 has 96 divisors (see below), whose sum is σ = 4047360. Its totient is φ = 259200.

The previous prime is 1138183. The next prime is 1138213. The reversal of 1138200 is 28311.

It is a happy number.

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 1138200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4065 + ... + 4335.

It is an arithmetic number, because the mean of its divisors is an integer number (42160).

2^1138200 is an apocalyptic number.

1138200 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 1138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023680).

1138200 is an abundant number, since it is smaller than the sum of its proper divisors (2909160).

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

1138200 is a wasteful number, since it uses less digits than its factorization.

1138200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

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

The square root of 1138200 is about 1066.8645649753. The cubic root of 1138200 is about 104.4093824600.

The spelling of 1138200 in words is "one million, one hundred thirty-eight thousand, two hundred".