It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 712 is not a prime number.
For example, 138 712 can be divided by 2: 138 712 / 2 = 69 356.
For 138 712 to be a prime number, it would have been required that 138 712 has only two divisors, i.e., itself and 1.
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138 712 is an even number, because it is evenly divisible by 2: 138 712 / 2 = 69 356.
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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 138 712 is about 372.441.
Thus, the square root of 138 712 is not an integer, and therefore 138 712 is not a square number.
The square of a number (here 138 712) is the result of the product of this number (138 712) by itself (i.e., 138 712 × 138 712); the square of 138 712 is sometimes called "raising 138 712 to the power 2", or "138 712 squared".
The square of 138 712 is 19 241 018 944 because 138 712 × 138 712 = 138 7122 = 19 241 018 944.
As a consequence, 138 712 is the square root of 19 241 018 944.
The multiples of 138 712 are all integers evenly divisible by 138 712, that is all numbers such that the remainder of the division by 138 712 is zero. There are infinitely many multiples of 138 712. The smallest multiples of 138 712 are: