It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 011 is not a prime number.
For example, 138 011 can be divided by 29: 138 011 / 29 = 4 759.
For 138 011 to be a prime number, it would have been required that 138 011 has only two divisors, i.e., itself and 1.
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138 011 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 138 011 is about 371.498.
Thus, the square root of 138 011 is not an integer, and therefore 138 011 is not a square number.
The square of a number (here 138 011) is the result of the product of this number (138 011) by itself (i.e., 138 011 × 138 011); the square of 138 011 is sometimes called "raising 138 011 to the power 2", or "138 011 squared".
The square of 138 011 is 19 047 036 121 because 138 011 × 138 011 = 138 0112 = 19 047 036 121.
As a consequence, 138 011 is the square root of 19 047 036 121.
The multiples of 138 011 are all integers evenly divisible by 138 011, that is all numbers such that the remainder of the division by 138 011 is zero. There are infinitely many multiples of 138 011. The smallest multiples of 138 011 are: