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135355836 = 2237211171231
BaseRepresentation
bin10000001000101…
…01110110111100
3100102200210022010
420010111312330
5234122341321
621233051220
73232335300
oct1004256674
9312623263
10135355836
116a44a930
12393b6b10
1322072515
1413d95d00
15bd3a676
hex8115dbc

135355836 has 144 divisors (see below), whose sum is σ = 424714752. Its totient is φ = 33062400.

The previous prime is 135355793. The next prime is 135355841. The reversal of 135355836 is 638553531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135355794 and 135355803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109341 + ... + 110571.

It is an arithmetic number, because the mean of its divisors is an integer number (2949408).

Almost surely, 2135355836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135355836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212357376).

135355836 is an abundant number, since it is smaller than the sum of its proper divisors (289358916).

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

135355836 is a wasteful number, since it uses less digits than its factorization.

135355836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1271 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The square root of 135355836 is about 11634.2527048367. The cubic root of 135355836 is about 513.4431078366.

The spelling of 135355836 in words is "one hundred thirty-five million, three hundred fifty-five thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 49 51 66 68 77 84 98 102 119 132 147 154 187 196 204 231 238 294 308 357 374 462 476 539 561 588 714 748 833 924 1078 1122 1231 1309 1428 1617 1666 2156 2244 2462 2499 2618 3234 3332 3693 3927 4924 4998 5236 6468 7386 7854 8617 9163 9996 13541 14772 15708 17234 18326 20927 25851 27082 27489 34468 36652 40623 41854 51702 54164 54978 60319 62781 81246 83708 94787 103404 109956 120638 125562 146489 162492 180957 189574 230197 241276 251124 284361 292978 361914 379148 439467 460394 568722 585956 663509 690591 723828 878934 920788 1025423 1137444 1327018 1381182 1611379 1757868 1990527 2050846 2654036 2762364 3076269 3222758 3981054 4101692 4834137 6152538 6445516 7962108 9668274 11279653 12305076 19336548 22559306 33838959 45118612 67677918 135355836