I don't think the official translation "zhe teng" is a best answer, but I don't know how to translate this word properly.
First off "zhe teng" can not be considered a translation of 折腾, and certainly not the official translation - it is simply just the pronunciation.
A translation of 折腾 really depends on the context, and since you didn't provide any context then you can consider the following definitions and sample sentences and see which fits best:
A Chinese-English Dictionary
1 turn from side to side; toss about
Tā zhēteng le hǎojǐ ge zhōngtóu cái shuìzháo.
He tossed about in bed for hours before he got to sleep.
2 do sth. over and over again
徒工把旧机器拆了又安, 安了又拆, 折腾了好多回。
Túgōng bǎ jiù jīqì chāi le yòu ān, ān le yòu chāi, zhēteng le hǎoduō huí.
The young apprentice again and again took the old machine apart and then put it together.
3 cause physical or mental suffering; get sb. down
Yá téng zhēn zhēteng rén.
A toothache can get you down.
4 spend freely; squander
Méi duōjiǔ tā jiù bǎ nà fèn jiāchǎn zhēteng guāng le.
It didn't take him long to squander away his family fortune.
I agree with user3306356, it depends on contexts.
For me as a native speaker, the one I used and heard the most means "torture or torturing" For instance, 您别折腾我了 Literally it means（Please）you stop torturing me. Note: 别...了 is a grammar usage meaning stop doing something.