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135336125255565 = 35133171991213921
BaseRepresentation
bin11110110001011001100101…
…101010111100111110001101
3122202012000012021002120022110
4132301121211222330332031
5120214321341031134230
61155500320241134233
740335466230044133
oct3661314552747615
9582160167076273
10135336125255565
113a1388015571a3
121321906a62a379
135a691ac853000
14255c4367c7753
15109a60abcd4b0
hex7b1665abcf8d

135336125255565 has 128 divisors (see below), whose sum is σ = 249621208704000. Its totient is φ = 62392613437440.

The previous prime is 135336125255549. The next prime is 135336125255587. The reversal of 135336125255565 is 565552521633531.

It is not a de Polignac number, because 135336125255565 - 24 = 135336125255549 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110879805 + ... + 112093725.

It is an arithmetic number, because the mean of its divisors is an integer number (1950165693000).

Almost surely, 2135336125255565 is an apocalyptic number.

135336125255565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135336125255565 is a deficient number, since it is larger than the sum of its proper divisors (114285083448435).

135336125255565 is a wasteful number, since it uses less digits than its factorization.

135336125255565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214184 (or 1214158 counting only the distinct ones).

The product of its digits is 60750000, while the sum is 57.

The spelling of 135336125255565 in words is "one hundred thirty-five trillion, three hundred thirty-six billion, one hundred twenty-five million, two hundred fifty-five thousand, five hundred sixty-five".

Divisors: 1 3 5 13 15 17 39 51 65 85 169 195 199 221 255 507 597 663 845 995 1105 2197 2535 2587 2873 2985 3315 3383 6591 7761 8619 10149 10985 12935 14365 16915 32955 33631 37349 38805 43095 43979 50745 100893 112047 131937 168155 186745 219895 437203 504465 560235 571727 659685 1213921 1311609 1715181 2186015 2858635 3641763 6069605 6558045 7432451 8575905 15780973 18208815 20636657 22297353 37162255 47342919 61909971 78904865 103183285 111486765 205152649 236714595 241570279 268276541 309549855 615457947 724710837 804829623 1025763245 1207851395 1341382705 2666984437 3077289735 3140413627 3487595033 3623554185 4024148115 4106694743 8000953311 9421240881 10462785099 12320084229 13334922185 15702068135 17437975165 20533473715 40004766555 40825377151 45338735429 47106204405 52313925495 53387031659 61600421145 122476131453 136016206287 160161094977 204126885755 226693677145 266935158295 530729902963 612380657265 680081031435 694031411567 800805474885 1592189708889 2082094234701 2653649514815 3470157057835 7960948544445 9022408350371 10410471173505 27067225051113 45112041751855 135336125255565