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135741521443632 = 243131373075172127
BaseRepresentation
bin11110110111010011001001…
…001010101011101100110000
3122210121202121000112200201120
4132313103021022223230300
5120242442113442144012
61200410443304302240
740410000304556646
oct3667231112535460
9583552530480646
10135741521443632
113a284724098555
1213283748a71980
135a984a8128430
142573cd34dd196
1510a5e361dc58c
hex7b74c92abb30

135741521443632 has 160 divisors (see below), whose sum is σ = 381635519096832. Its totient is φ = 41326693558272.

The previous prime is 135741521443621. The next prime is 135741521443637. The reversal of 135741521443632 is 236344125147531.

It is not an unprimeable number, because it can be changed into a prime (135741521443637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23658753 + ... + 28830879.

Almost surely, 2135741521443632 is an apocalyptic number.

135741521443632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135741521443632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190817759548416).

135741521443632 is an abundant number, since it is smaller than the sum of its proper divisors (245893997653200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135741521443632 is a wasteful number, since it uses less digits than its factorization.

135741521443632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172595 (or 5172589 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 51.

The spelling of 135741521443632 in words is "one hundred thirty-five trillion, seven hundred forty-one billion, five hundred twenty-one million, four hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 137 156 208 274 307 312 411 548 614 624 822 921 1096 1228 1644 1781 1842 2192 2456 3288 3562 3684 3991 4912 5343 6576 7124 7368 7982 10686 11973 14248 14736 15964 21372 23946 28496 31928 42059 42744 47892 63856 84118 85488 95784 126177 168236 191568 252354 336472 504708 546767 672944 1009416 1093534 1640301 2018832 2187068 3280602 4374136 5172127 6561204 8748272 10344254 13122408 15516381 20688508 26244816 31032762 41377016 62065524 67237651 82754032 124131048 134475302 201712953 248262096 268950604 403425906 537901208 708581399 806851812 1075802416 1417162798 1587842989 1613703624 2125744197 2834325596 3175685978 3227407248 4251488394 4763528967 5668651192 6351371956 8502976788 9211558187 9527057934 11337302384 12702743912 17005953576 18423116374 19054115868 20641958857 25405487824 27634674561 34011907152 36846232748 38108231736 41283917714 55269349122 61925876571 73692465496 76216463472 82567835428 110538698244 123851753142 147384930992 165135670856 217534489493 221077396488 247703506284 330271341712 435068978986 442154792976 495407012568 652603468479 870137957972 990814025136 1305206936958 1740275915944 2610413873916 2827948363409 3480551831888 5220827747832 5655896726818 8483845090227 10441655495664 11311793453636 16967690180454 22623586907272 33935380360908 45247173814544 67870760721816 135741521443632