It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 402 is not a prime number.
For example, 138 402 can be divided by 2: 138 402 / 2 = 69 201.
For 138 402 to be a prime number, it would have been required that 138 402 has only two divisors, i.e., itself and 1.
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138 402 is an even number, because it is evenly divisible by 2: 138 402 / 2 = 69 201.
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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 138 402 is about 372.024.
Thus, the square root of 138 402 is not an integer, and therefore 138 402 is not a square number.
The square of a number (here 138 402) is the result of the product of this number (138 402) by itself (i.e., 138 402 × 138 402); the square of 138 402 is sometimes called "raising 138 402 to the power 2", or "138 402 squared".
The square of 138 402 is 19 155 113 604 because 138 402 × 138 402 = 138 4022 = 19 155 113 604.
As a consequence, 138 402 is the square root of 19 155 113 604.
The multiples of 138 402 are all integers evenly divisible by 138 402, that is all numbers such that the remainder of the division by 138 402 is zero. There are infinitely many multiples of 138 402. The smallest multiples of 138 402 are: