It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 142 is not a prime number.
For example, 138 142 can be divided by 2: 138 142 / 2 = 69 071.
For 138 142 to be a prime number, it would have been required that 138 142 has only two divisors, i.e., itself and 1.
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138 142 is an even number, because it is evenly divisible by 2: 138 142 / 2 = 69 071.
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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 138 142 is about 371.675.
Thus, the square root of 138 142 is not an integer, and therefore 138 142 is not a square number.
The square of a number (here 138 142) is the result of the product of this number (138 142) by itself (i.e., 138 142 × 138 142); the square of 138 142 is sometimes called "raising 138 142 to the power 2", or "138 142 squared".
The square of 138 142 is 19 083 212 164 because 138 142 × 138 142 = 138 1422 = 19 083 212 164.
As a consequence, 138 142 is the square root of 19 083 212 164.
The multiples of 138 142 are all integers evenly divisible by 138 142, that is all numbers such that the remainder of the division by 138 142 is zero. There are infinitely many multiples of 138 142. The smallest multiples of 138 142 are: