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135423036 = 22337271661
BaseRepresentation
bin10000001001001…
…10010000111100
3100102211012111000
420010212100330
5234132014121
621234330300
73233035230
oct1004462074
9312735430
10135423036
116a496371
1239429990
1322096c98
1413db25c0
15bd50526
hex812643c

135423036 has 96 divisors (see below), whose sum is σ = 403343360. Its totient is φ = 38491200.

The previous prime is 135423007. The next prime is 135423047. The reversal of 135423036 is 630324531.

It is a happy number.

135423036 is a `hidden beast` number, since 1 + 354 + 2 + 303 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204546 + ... + 205206.

Almost surely, 2135423036 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 135423036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201671680).

135423036 is an abundant number, since it is smaller than the sum of its proper divisors (267920324).

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

135423036 is a wasteful number, since it uses less digits than its factorization.

135423036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 135423036 is about 11637.1403703831. The cubic root of 135423036 is about 513.5280633373.

Adding to 135423036 its reverse (630324531), we get a palindrome (765747567).

The spelling of 135423036 in words is "one hundred thirty-five million, four hundred twenty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 271 378 542 661 756 813 1084 1322 1626 1897 1983 2439 2644 3252 3794 3966 4627 4878 5691 5949 7317 7588 7932 9254 9756 11382 11898 13881 14634 17073 17847 18508 22764 23796 27762 29268 34146 35694 41643 51219 55524 68292 71388 83286 102438 124929 166572 179131 204876 249858 358262 499716 537393 716524 1074786 1253917 1612179 2149572 2507834 3224358 3761751 4836537 5015668 6448716 7523502 9673074 11285253 15047004 19346148 22570506 33855759 45141012 67711518 135423036