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133539705040 = 2457472107951
BaseRepresentation
bin111110001011110010…
…1100011000011010000
3110202200121111220002111
41330113211203003100
54141442131030130
6141203003155104
712435144523060
oct1742745430320
9422617456074
10133539705040
11516a77559a5
1221a6a215a94
13c792333661
14666b6413a0
1537189b502a
hex1f179630d0

133539705040 has 120 divisors (see below), whose sum is σ = 362547724032. Its totient is φ = 44810476800.

The previous prime is 133539704981. The next prime is 133539705049. The reversal of 133539705040 is 40507935331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 133539704984 and 133539705002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133539705049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183065 + ... + 1291015.

Almost surely, 2133539705040 is an apocalyptic number.

133539705040 is a gapful number since it is divisible by the number (10) 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 133539705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181273862016).

133539705040 is an abundant number, since it is smaller than the sum of its proper divisors (229008018992).

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

133539705040 is a wasteful number, since it uses less digits than its factorization.

133539705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108065 (or 108012 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 40.

The spelling of 133539705040 in words is "one hundred thirty-three billion, five hundred thirty-nine million, seven hundred five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2209 2632 3290 3760 4418 5264 6580 8836 11045 13160 15463 17672 22090 26320 30926 35344 44180 61852 77315 88360 107951 123704 154630 176720 215902 247408 309260 431804 539755 618520 755657 863608 1079510 1237040 1511314 1727216 2159020 3022628 3778285 4318040 5073697 6045256 7556570 8636080 10147394 12090512 15113140 20294788 25368485 30226280 35515879 40589576 50736970 60452560 71031758 81179152 101473940 142063516 177579395 202947880 238463759 284127032 355158790 405895760 476927518 568254064 710317580 953855036 1192318795 1420635160 1669246313 1907710072 2384637590 2841270320 3338492626 3815420144 4769275180 6676985252 8346231565 9538550360 13353970504 16692463130 19077100720 26707941008 33384926260 66769852520 133539705040