Assuming you mean in the US. The Department of the Treasury handles printing of all US funds.

The funds collected by The Illinois Lottery are used for the LotteryÍ—‘_Í_‘‰s operating costs like paying its employees, paying the printing of lottery tickets, contributing to the State Education Funds and funding of State Capital Funds to name a few.

On June 20, 1874, the first Congressional mention of the "Bureau of Engraving and Printing" was in a bill appropriating funds to it for its operations. Prior to that the Treasury Department had been printing currency since July 11, 1862 without a formal separate office.
It was formally established in 1874.

No, a publisher is a person or company who funds the printing of books and other printed matter. The publications are the things that the publishers have printed.

Direct and indirect printing are from mono printing