It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 345 138 is not a prime number.
For example, 345 138 can be divided by 2: 345 138 / 2 = 172 569.
For 345 138 to be a prime number, it would have been required that 345 138 has only two divisors, i.e., itself and 1.
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345 138 is an even number, because it is evenly divisible by 2: 345 138 / 2 = 172 569.
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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 345 138 is about 587.484.
Thus, the square root of 345 138 is not an integer, and therefore 345 138 is not a square number.
The square of a number (here 345 138) is the result of the product of this number (345 138) by itself (i.e., 345 138 × 345 138); the square of 345 138 is sometimes called "raising 345 138 to the power 2", or "345 138 squared".
The square of 345 138 is 119 120 239 044 because 345 138 × 345 138 = 345 1382 = 119 120 239 044.
As a consequence, 345 138 is the square root of 119 120 239 044.
The multiples of 345 138 are all integers evenly divisible by 345 138, that is all numbers such that the remainder of the division by 345 138 is zero. There are infinitely many multiples of 345 138. The smallest multiples of 345 138 are: