It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 212 138 is not a prime number.
For example, 212 138 can be divided by 2: 212 138 / 2 = 106 069.
For 212 138 to be a prime number, it would have been required that 212 138 has only two divisors, i.e., itself and 1.
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212 138 is an even number, because it is evenly divisible by 2: 212 138 / 2 = 106 069.
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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 212 138 is about 460.584.
Thus, the square root of 212 138 is not an integer, and therefore 212 138 is not a square number.
The square of a number (here 212 138) is the result of the product of this number (212 138) by itself (i.e., 212 138 × 212 138); the square of 212 138 is sometimes called "raising 212 138 to the power 2", or "212 138 squared".
The square of 212 138 is 45 002 531 044 because 212 138 × 212 138 = 212 1382 = 45 002 531 044.
As a consequence, 212 138 is the square root of 45 002 531 044.
The multiples of 212 138 are all integers evenly divisible by 212 138, that is all numbers such that the remainder of the division by 212 138 is zero. There are infinitely many multiples of 212 138. The smallest multiples of 212 138 are: