Subhân Allâh

"Glory to God" -- this phrase is often used when praising God or exclaiming awe at His attributes, bounties, or creation.

Said Mohammed bin AbeeBakr Abdulqader al-Razee, in his book "Mukhtar al-Sihah" one of the classic Arabic-wordbooks:

The meaning of subhanallah is, making Allah pure, and it is bound to its original word (sabh, meaning void) as if he said, I verily absolve Allah from all evil.

The origin for the word is sabh, voidness, or tasbeeh, making something void. So the direct literal meaning of the phrase is Allah is void... And there is a part that is unpronounced which is "void of all evil". And this is the way that it is used in the Quran. For example it says; "Subhanallah amma yasiffon - Void/Free is Allah from that (evil) which they ascribe (to Him)" and "Subhanalla amma yoshrikoon - Free is Allah from those polytheistic deeds that they do."
The word Subhan is also closely related to the Sanskrit phrase Subaha commenced during rituals. It's often used after reciting one deities name.

From the site http://wahiduddin.net/words/subhan_allah.htm :

The Arabic root s-b-h can certainly mean to praise or to glorify, but in a deeper sense, this root also points toward a sense of swimming in something, or being immersed in something, or to be be floating in something, or to have something spread out in front of you as far as the eye can see.
Armed with these insights, we have a whole new vision of this word subhân... a delightfully expansive view, as though one is immersed in a vast sea that spreads out infinitely in all directions, a vast sea that one is floating in and the one is totally supported by.
What a powerful and magnificent metaphor this is for our existence in Allâh, portraying the vast Ocean of Allâh, and our utter dependence upon Allâh for all of our support.
The deepest loneliness arises when we forget that we are immersed in this Magnificent Ocean. The Ocean is not something to seek. It's already here. The challenge of life is to become aware of what we already have.

Oh, that is so beautiful.

Subhân Allâh!