It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 464 is not a prime number.
For example, 138 464 can be divided by 2: 138 464 / 2 = 69 232.
For 138 464 to be a prime number, it would have been required that 138 464 has only two divisors, i.e., itself and 1.
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138 464 is an even number, because it is evenly divisible by 2: 138 464 / 2 = 69 232.
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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 138 464 is about 372.108.
Thus, the square root of 138 464 is not an integer, and therefore 138 464 is not a square number.
The square of a number (here 138 464) is the result of the product of this number (138 464) by itself (i.e., 138 464 × 138 464); the square of 138 464 is sometimes called "raising 138 464 to the power 2", or "138 464 squared".
The square of 138 464 is 19 172 279 296 because 138 464 × 138 464 = 138 4642 = 19 172 279 296.
As a consequence, 138 464 is the square root of 19 172 279 296.
The multiples of 138 464 are all integers evenly divisible by 138 464, that is all numbers such that the remainder of the division by 138 464 is zero. There are infinitely many multiples of 138 464. The smallest multiples of 138 464 are: