Teacher Liu, Teacher Wang, Teacher Jia, and Teacher Shi went to the school logistics department to receive prizes for the students at the same time. Teacher Liu takes 15 minutes, Teacher Wang takes 10 minutes, Teacher Jia takes 25 minutes, and Teacher Shi takes 13 minutes. To minimize the sum of the waiting time of the four teachers, how much time should it take at least? In what order should the prizes be claimed?
刘老师、王老师、贾老师、石老师同时到学校后勤部为学生领奖品．刘老师要用15分钟，王老师要用10分钟，贾老师要用25分钟，石老师要用13分钟．要使四位老师等候时间的总和最少，至少要用多少时间？应该按怎样的顺序领奖品？
<gadget id="calculator">10 * 4</gadget>
<output>40</output>

<gadget id="calculator">13 * 3</gadget>
<output>39</output>

<gadget id="calculator">15 * 2</gadget>
<output>30</output>

<gadget id="calculator">40 + 39 + 30 + 25</gadget>
<output>134</output>

<result>134</result>