It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 423 is not a prime number.
For example, 138 423 can be divided by 3: 138 423 / 3 = 46 141.
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For 138 423 to be a prime number, it would have been required that 138 423 has only two divisors, i.e., itself and 1.
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138 423 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 138 423 is about 372.052.
Thus, the square root of 138 423 is not an integer, and therefore 138 423 is not a square number.
The square of a number (here 138 423) is the result of the product of this number (138 423) by itself (i.e., 138 423 × 138 423); the square of 138 423 is sometimes called "raising 138 423 to the power 2", or "138 423 squared".
The square of 138 423 is 19 160 926 929 because 138 423 × 138 423 = 138 4232 = 19 160 926 929.
As a consequence, 138 423 is the square root of 19 160 926 929.
The multiples of 138 423 are all integers evenly divisible by 138 423, that is all numbers such that the remainder of the division by 138 423 is zero. There are infinitely many multiples of 138 423. The smallest multiples of 138 423 are: