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135432723175302 = 237195322783140551
BaseRepresentation
bin11110110010110011100011…
…010110110001011110000110
3122202112020112100010022210110
4132302303203112301132012
5120222412204113102202
61200012533433533450
740345456063602240
oct3662634326613606
9582466470108713
10135432723175302
113a175771566013
1213233928b74286
135a7533558bab7
142562d9ba99090
15109cdb13ee26c
hex7b2ce35b1786

135432723175302 has 128 divisors (see below), whose sum is σ = 332018276106240. Its totient is φ = 35964977443200.

The previous prime is 135432723175171. The next prime is 135432723175303. The reversal of 135432723175302 is 203571327234531.

135432723175302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135432723175303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963513927 + ... + 963654477.

It is an arithmetic number, because the mean of its divisors is an integer number (2593892782080).

Almost surely, 2135432723175302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135432723175302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166009138053120).

135432723175302 is an abundant number, since it is smaller than the sum of its proper divisors (196585552930938).

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

135432723175302 is a wasteful number, since it uses less digits than its factorization.

135432723175302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163418.

The product of its (nonzero) digits is 3175200, while the sum is 48.

The spelling of 135432723175302 in words is "one hundred thirty-five trillion, four hundred thirty-two billion, seven hundred twenty-three million, one hundred seventy-five thousand, three hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 53 57 106 114 133 159 266 318 371 399 742 798 1007 1113 2014 2226 3021 6042 7049 14098 21147 22783 42294 45566 68349 136698 140551 159481 281102 318962 421653 432877 478443 843306 865754 956886 983857 1207499 1298631 1967714 2414998 2597262 2670469 2951571 3030139 3622497 5340938 5903142 6060278 7244994 7449203 8011407 8452493 9090417 14898406 16022814 16904986 18180834 18693283 22347609 22942481 25357479 37386566 44695218 45884962 50714958 52144421 56079849 68827443 104288842 112159698 137654886 141534857 156433263 160597367 283069714 312866526 321194734 424604571 481792101 849209142 963584202 990743999 1981487998 2972231997 3202173433 5944463994 6404346866 9606520299 19213040598 22415214031 44830428062 60841295227 67245642093 121682590454 134491284186 169715191949 182523885681 339430383898 365047771362 425889066589 509145575847 851778133178 1018291151694 1188006343643 1277667199767 2376012687286 2555334399534 3224588647031 3564019030929 6449177294062 7128038061858 9673765941093 19347531882186 22572120529217 45144241058434 67716361587651 135432723175302