It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 150 138 is not a prime number.
For example, 150 138 can be divided by 2: 150 138 / 2 = 75 069.
For 150 138 to be a prime number, it would have been required that 150 138 has only two divisors, i.e., itself and 1.
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150 138 is an even number, because it is evenly divisible by 2: 150 138 / 2 = 75 069.
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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 150 138 is about 387.476.
Thus, the square root of 150 138 is not an integer, and therefore 150 138 is not a square number.
The square of a number (here 150 138) is the result of the product of this number (150 138) by itself (i.e., 150 138 × 150 138); the square of 150 138 is sometimes called "raising 150 138 to the power 2", or "150 138 squared".
The square of 150 138 is 22 541 419 044 because 150 138 × 150 138 = 150 1382 = 22 541 419 044.
As a consequence, 150 138 is the square root of 22 541 419 044.
The multiples of 150 138 are all integers evenly divisible by 150 138, that is all numbers such that the remainder of the division by 150 138 is zero. There are infinitely many multiples of 150 138. The smallest multiples of 150 138 are: