It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 164 is not a prime number.
For example, 138 164 can be divided by 2: 138 164 / 2 = 69 082.
For 138 164 to be a prime number, it would have been required that 138 164 has only two divisors, i.e., itself and 1.
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138 164 is an even number, because it is evenly divisible by 2: 138 164 / 2 = 69 082.
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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 138 164 is about 371.704.
Thus, the square root of 138 164 is not an integer, and therefore 138 164 is not a square number.
The square of a number (here 138 164) is the result of the product of this number (138 164) by itself (i.e., 138 164 × 138 164); the square of 138 164 is sometimes called "raising 138 164 to the power 2", or "138 164 squared".
The square of 138 164 is 19 089 290 896 because 138 164 × 138 164 = 138 1642 = 19 089 290 896.
As a consequence, 138 164 is the square root of 19 089 290 896.
The multiples of 138 164 are all integers evenly divisible by 138 164, that is all numbers such that the remainder of the division by 138 164 is zero. There are infinitely many multiples of 138 164. The smallest multiples of 138 164 are: