SN74HC132 internal pulldown?

I built a PCB shield to work with Arduino. There is one NAND gate SN74HC132 on the PCB. The Arduino's digital output pins write HIGH or LOW to signal one NAND gate and other devices. When Arduino turned off, the pin connected to NAND input is still low (short with ground), but other pins are pulled up by pullups on other device. 

Based on such observations, I thought the NAND gate inputs have internal pulldown, but could not find it clearly in its datasheet. Is that right?

Thanks.