It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 156 138 is not a prime number.
For example, 156 138 can be divided by 2: 156 138 / 2 = 78 069.
For 156 138 to be a prime number, it would have been required that 156 138 has only two divisors, i.e., itself and 1.
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156 138 is an even number, because it is evenly divisible by 2: 156 138 / 2 = 78 069.
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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 156 138 is about 395.143.
Thus, the square root of 156 138 is not an integer, and therefore 156 138 is not a square number.
The square of a number (here 156 138) is the result of the product of this number (156 138) by itself (i.e., 156 138 × 156 138); the square of 156 138 is sometimes called "raising 156 138 to the power 2", or "156 138 squared".
The square of 156 138 is 24 379 075 044 because 156 138 × 156 138 = 156 1382 = 24 379 075 044.
As a consequence, 156 138 is the square root of 24 379 075 044.
The multiples of 156 138 are all integers evenly divisible by 156 138, that is all numbers such that the remainder of the division by 156 138 is zero. There are infinitely many multiples of 156 138. The smallest multiples of 156 138 are: