It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 169 is not a prime number.
For example, 138 169 can be divided by 233: 138 169 / 233 = 593.
For 138 169 to be a prime number, it would have been required that 138 169 has only two divisors, i.e., itself and 1.
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138 169 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 138 169 is about 371.711.
Thus, the square root of 138 169 is not an integer, and therefore 138 169 is not a square number.
The square of a number (here 138 169) is the result of the product of this number (138 169) by itself (i.e., 138 169 × 138 169); the square of 138 169 is sometimes called "raising 138 169 to the power 2", or "138 169 squared".
The square of 138 169 is 19 090 672 561 because 138 169 × 138 169 = 138 1692 = 19 090 672 561.
As a consequence, 138 169 is the square root of 19 090 672 561.
The multiples of 138 169 are all integers evenly divisible by 138 169, that is all numbers such that the remainder of the division by 138 169 is zero. There are infinitely many multiples of 138 169. The smallest multiples of 138 169 are: