127 is a Mersenne number: 27 – 1 = 127. It is the largest Mersenne prime with all different digits.
127 = 20 + 21 + 22 + 23 + 24 + 25 + 26.
127 can be expressed as the sum of factorials of the first three odd numbers: 1! + 3! + 5! = 127.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhICqvCnKf1vT8NZXaCGjolpd8NwFiGN-6qhJhETfozXQ9-QBjXaMQHqUgnJ_FK7rgmRGZ0JMDaXGkRogrGBrNl9BsbeEAWa2jfuBgKFQsKAu9hU0O3cd8YlQTfs9jWnCaLptLH5INaTKQ/s400/n0127.jpg)
127 is the number of prime days in a leap year.
Source: Prime Curios!
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