There is an awesome feature most of the mobile service providers support, which is you can send email to phone numbers. Receivers will see the email on their cellphone as message, and they wll be able to reply as well. You can find the carrier information at Phone Lookup
Rate Limit: 5 messages per IP per minute, 2 messages per number per minute. Only US and Canada number supported.
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If you want to have no limit and cheap sms service, please check out a really cheap sms service at RapidAPI.