How to make transparent the Index 0 of the color table of a Tif/GTiff/GeoTiff using gdal?

With a Tif file, I’m trying to generate tiles using gdal tools.

gdalinfo

gdalinfo I_III_IVA_MRA_WGS.tif | more

Output

Driver: GTiff/GeoTIFF
Files: I_III_IVA_MRA_WGS.tif
Size is 17119, 23309
Coordinate System is:
GEOGCS["WGS 84",
    DATUM["WGS_1984",
        SPHEROID["WGS 84",6378137,298.257223563,
            AUTHORITY["EPSG","7030"]],
        AUTHORITY["EPSG","6326"]],
    PRIMEM["Greenwich",0],
    UNIT["degree",0.0174532925199433],
    AUTHORITY["EPSG","4326"]]
Origin = (119.423193410175510,18.468686780527399)
Pixel Size = (0.000179663056824,-0.000188223140884)
Metadata:
  AREA_OR_POINT=Area
Image Structure Metadata:
  INTERLEAVE=BAND
Corner Coordinates:
Upper Left  ( 119.4231934,  18.4686868) (119d25'23.50"E, 18d28' 7.27"N)
Lower Left  ( 119.4231934,  14.0813936) (119d25'23.50"E, 14d 4'53.02"N)
Upper Right ( 122.4988453,  18.4686868) (122d29'55.84"E, 18d28' 7.27"N)
Lower Right ( 122.4988453,  14.0813936) (122d29'55.84"E, 14d 4'53.02"N)
Center      ( 120.9610193,  16.2750402) (120d57'39.67"E, 16d16'30.14"N)
Band 1 Block=17119x1 Type=Byte, ColorInterp=Palette
  NoData Value=0
  Color Table (RGB with 256 entries)
    0: 255,255,255,255
    1: 0,150,0,255
    2: 0,0,0,255
    3: 0,0,0,255
    4: 0,0,0,255
   ...    
   22: 0,0,0,255
-- More  --

When I finally generate the tiles using gdal2tiles, it includes the canvass of the image.

My question is how can we make transparent the Index 0 of the color table of a Tif/GTiff/GeoTiff using gdal?