You're asking two different questions.
Would it look better? Sure, why not. Eye-catching is eye-catching.
Would it be better, in terms of producing more leads/clients? That depends entirely on what you're going to do with it.
If you're doing print advertising (which I never really had a ton of success with), then sure, a potential client might remember it better before he throws out the flyer or newspaper. But if you're just putting it on a business card that you'll be handing out, I don't think a quirky phone number is necessary.
In fact, I'd say it's probably more important to have a barebones website you can direct people to, even if you just purchase something like the "SterneneisenTraining.com" domain name (less than $10 a year) and direct it to a free blog where you have one post with your e-mail address and bio.
It's the 21st century. Having some kind of web presence really is a must for businesses.