It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 673 is not a prime number.
For example, 138 673 can be divided by 101: 138 673 / 101 = 1 373.
For 138 673 to be a prime number, it would have been required that 138 673 has only two divisors, i.e., itself and 1.
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138 673 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 138 673 is about 372.388.
Thus, the square root of 138 673 is not an integer, and therefore 138 673 is not a square number.
The square of a number (here 138 673) is the result of the product of this number (138 673) by itself (i.e., 138 673 × 138 673); the square of 138 673 is sometimes called "raising 138 673 to the power 2", or "138 673 squared".
The square of 138 673 is 19 230 200 929 because 138 673 × 138 673 = 138 6732 = 19 230 200 929.
As a consequence, 138 673 is the square root of 19 230 200 929.
The multiples of 138 673 are all integers evenly divisible by 138 673, that is all numbers such that the remainder of the division by 138 673 is zero. There are infinitely many multiples of 138 673. The smallest multiples of 138 673 are: