It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 729 is not a prime number.
For example, 138 729 can be divided by 3: 138 729 / 3 = 46 243.
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For 138 729 to be a prime number, it would have been required that 138 729 has only two divisors, i.e., itself and 1.
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138 729 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 138 729 is about 372.463.
Thus, the square root of 138 729 is not an integer, and therefore 138 729 is not a square number.
The square of a number (here 138 729) is the result of the product of this number (138 729) by itself (i.e., 138 729 × 138 729); the square of 138 729 is sometimes called "raising 138 729 to the power 2", or "138 729 squared".
The square of 138 729 is 19 245 735 441 because 138 729 × 138 729 = 138 7292 = 19 245 735 441.
As a consequence, 138 729 is the square root of 19 245 735 441.
The multiples of 138 729 are all integers evenly divisible by 138 729, that is all numbers such that the remainder of the division by 138 729 is zero. There are infinitely many multiples of 138 729. The smallest multiples of 138 729 are: