Well, the channel 'numbers' often correspond to the seniority or priority of the network. For example, in the UK, BBC-1 is their flagship, BBC-2 is their secondary, ITV was the first independent commercial channel. Most British televisions in the 70's programmed channels to slots (as aptly described by Neel) so that BBC-1 was in 1st place, BBC-2 was second and ITV was third. So, when additional independent OTA channels were approved, they became known as Channel 4 and Five, based on their respective premiere dates.
However, all analogue TV in Britain is on UHF so not one of the described channels is located at 1, 2, 3, 4 or 5! Similar stories can be told of channels in other countries, where the number describes the level of service more than the dial position.
Australia is probably more similar to the US with regard to the "Channel 7" moniker, but that is an exception. In most countries, over the air TV is dominated by public channels and those are located at pretty random channel numbers. Look to Canada as a 'local' example where channel number is very rarely used to identify a station.
Outside of the US, most stations are "branded" much as a cable network would be. Not by channel number - as the programming is usually national and rarely local.
And, transmission tends to be through a network of low-powered local transmitters on various channels...even within the same region.
One place that I know of that is much like here is Costa Rica. It's a relatively small country and its broadcasters use a system of on-channel repeaters around the country. There are only 2 significant commercial broadcasting companies there: Repretel (operating channels 4, 6 and 11) and TeleTica (operating channel 7). Each channel is identified strongly by number, just as we do here. Nicaragua and Panama do the same thing with certain stations as well.
Outside of those countries, stations in the rest of Latin America are branded. Venezuela, which has stations such as TeleVen, VT, Globovision, Venevision, and RCTV (now cable only - thanks to Chavez' disapproval of their 'opinions'), provides a fine example of this. If you have an OTA television, as most do in a place like Venezuela, you just have to dial around to find the proper station. People get used to it, just as our parents did.