NOT SAFE!
Never, ever touch a bat, alive or dead, and if you do, see a doctor immediately. Even *proximity* to a bat is regarded as extremely dangerous.
Bats are wonderful creatures, consuming an enormous amount of insects, and they are to be encouraged. But under normal circumstances, you should never be in contact with one, nor will a healthy bat willingly get in contact with you.
Dog or cat, if they are exposed to a bat they must be quarantined, even if vaccinated. If they have bitten or carried the bat in their mouth, you need to limit contact with them as well.
No matter what all else, you will probably have to get a rabies shot, so resign yourself to that.
Well, this happened 4 months ago, cat fine, me fine, bat thrown in the garbage.
But I will keep the warning in mind if the cat does it again.
Uh oh....One did fly up to me in college about 20-25 years ago. It did touch me. It did not bite me.