It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 131 is not a prime number.
For example, 138 131 can be divided by 7: 138 131 / 7 = 19 733.
For 138 131 to be a prime number, it would have been required that 138 131 has only two divisors, i.e., itself and 1.
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138 131 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 138 131 is about 371.660.
Thus, the square root of 138 131 is not an integer, and therefore 138 131 is not a square number.
The square of a number (here 138 131) is the result of the product of this number (138 131) by itself (i.e., 138 131 × 138 131); the square of 138 131 is sometimes called "raising 138 131 to the power 2", or "138 131 squared".
The square of 138 131 is 19 080 173 161 because 138 131 × 138 131 = 138 1312 = 19 080 173 161.
As a consequence, 138 131 is the square root of 19 080 173 161.
The multiples of 138 131 are all integers evenly divisible by 138 131, that is all numbers such that the remainder of the division by 138 131 is zero. There are infinitely many multiples of 138 131. The smallest multiples of 138 131 are: