150 (number)
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150 is a natural number that follows 149 and precedes 151. It equals one hundred and fifty, and is twice 75 and half of 300. In decimal notation it is written with three digits: 1, 5, and 0.
150 is a composite number, meaning it has divisors other than 1 and itself. It can be expressed as the product of prime numbers: 150 = 2 × 3 × 5². Its divisors are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150.
Mathematical properties
The sum of its proper divisors (1 + 2 + 3 + 5 + 6 + 10 + 15 + 25 + 30 + 50 + 75) equals 222, which is greater than 150. For this reason 150 is classified as an abundant number. It is an even number but not a perfect square, since the square root of 150 is not a whole number (approximately 12.25).
In binary notation, 150 is written as 10010110. In Roman numerals it is denoted CL, where C represents 100 and L represents 50.
Geometric and measurement applications
In geometry, an angle of 150 degrees is an obtuse angle and differs from a 30-degree angle. The interior angle of a regular dodecagon is 150 degrees. Additionally, 150 appears in standard measurements such as kilometres, kilograms, and various percentages in measurement systems.
Common usage
In Western languages, the term 'sesquicentennial' refers to the commemoration of a 150th anniversary. In history and literature, 150 recurs as the number of sections in books and collections—for example, the Book of Psalms in the Hebrew Bible contains 150 psalms.