It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 116 is not a prime number.
For example, 138 116 can be divided by 2: 138 116 / 2 = 69 058.
For 138 116 to be a prime number, it would have been required that 138 116 has only two divisors, i.e., itself and 1.
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138 116 is an even number, because it is evenly divisible by 2: 138 116 / 2 = 69 058.
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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 138 116 is about 371.640.
Thus, the square root of 138 116 is not an integer, and therefore 138 116 is not a square number.
The square of a number (here 138 116) is the result of the product of this number (138 116) by itself (i.e., 138 116 × 138 116); the square of 138 116 is sometimes called "raising 138 116 to the power 2", or "138 116 squared".
The square of 138 116 is 19 076 029 456 because 138 116 × 138 116 = 138 1162 = 19 076 029 456.
As a consequence, 138 116 is the square root of 19 076 029 456.
The multiples of 138 116 are all integers evenly divisible by 138 116, that is all numbers such that the remainder of the division by 138 116 is zero. There are infinitely many multiples of 138 116. The smallest multiples of 138 116 are: