1138000 has 40 divisors (see below), whose sum is σ = 2756520. Its totient is φ = 454400.

The previous prime is 1137991. The next prime is 1138019. The reversal of 1138000 is 8311.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 968256 = 412^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1716 + ... + 2284.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

2^1138000 is an apocalyptic number.

1138000 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 1138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378260).

1138000 is an abundant number, since it is smaller than the sum of its proper divisors (1618520).

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

1138000 is an equidigital number, since it uses as much as digits as its factorization.

1138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1138000 is about 1066.7708282476. The cubic root of 1138000 is about 104.4032666339.

The spelling of 1138000 in words is "one million, one hundred thirty-eight thousand".