It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 429 is not a prime number.
For example, 138 429 can be divided by 3: 138 429 / 3 = 46 143.
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For 138 429 to be a prime number, it would have been required that 138 429 has only two divisors, i.e., itself and 1.
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138 429 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 138 429 is about 372.060.
Thus, the square root of 138 429 is not an integer, and therefore 138 429 is not a square number.
The square of a number (here 138 429) is the result of the product of this number (138 429) by itself (i.e., 138 429 × 138 429); the square of 138 429 is sometimes called "raising 138 429 to the power 2", or "138 429 squared".
The square of 138 429 is 19 162 588 041 because 138 429 × 138 429 = 138 4292 = 19 162 588 041.
As a consequence, 138 429 is the square root of 19 162 588 041.
The multiples of 138 429 are all integers evenly divisible by 138 429, that is all numbers such that the remainder of the division by 138 429 is zero. There are infinitely many multiples of 138 429. The smallest multiples of 138 429 are: