Also sometimes referred to as an 'Account Number' or perhaps 'Accreditation Number' your NSW Education Standards Authority (NESA) number can be found on your accreditation card and on some (but not all) mail/email communication with NESA.
You can also have your NESA number sent to you via phone or email by filling in your personal information here.
It can be helpful to keep a record of it somewhere easily accessible for you.
It is different to your teacher employee ID number.