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128135521920 = 273579533893
BaseRepresentation
bin111011101010101111…
…0001110011010000000
3110020201222120221112010
41313111132032122000
54044410143200140
6134510432532520
712154213652130
oct1672536163200
9406658527463
10128135521920
114a38418615a
1220a003b1140
13c11082a473
1462b7a0aac0
1534ee320880
hex1dd578e680

128135521920 has 128 divisors (see below), whose sum is σ = 466779450240. Its totient is φ = 29288116224.

The previous prime is 128135521901. The next prime is 128135521933. The reversal of 128135521920 is 29125531821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4753507 + ... + 4780386.

It is an arithmetic number, because the mean of its divisors is an integer number (3646714455).

Almost surely, 2128135521920 is an apocalyptic number.

128135521920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128135521920 is an abundant number, since it is smaller than the sum of its proper divisors (338643928320).

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

128135521920 is an equidigital number, since it uses as much as digits as its factorization.

128135521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533922 (or 9533910 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

Subtracting from 128135521920 its reverse (29125531821), we obtain a palindrome (99009990099).

The spelling of 128135521920 in words is "one hundred twenty-eight billion, one hundred thirty-five million, five hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 9533893 19067786 28601679 38135572 47669465 57203358 66737251 76271144 95338930 114406716 133474502 143008395 152542288 190677860 200211753 228813432 266949004 286016790 305084576 333686255 381355720 400423506 457626864 533898008 572033580 610169152 667372510 762711440 800847012 915253728 1001058765 1067796016 1144067160 1220338304 1334745020 1525422880 1601694024 1830507456 2002117530 2135592032 2288134320 2669490040 3050845760 3203388048 3661014912 4004235060 4271184064 4576268640 5338980080 6101691520 6406776096 8008470120 8542368128 9152537280 10677960160 12813552192 16016940240 18305074560 21355920320 25627104384 32033880480 42711840640 64067760960 128135521920