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135195606 = 23272132907
BaseRepresentation
bin10000000111011…
…10101111010110
3100102101122111200
420003232233112
5234102224411
621225413330
73231100200
oct1003565726
9312348450
10135195606
116a350507
123933a246
1322017600
1413d53770
15bd07e56
hex80eebd6

135195606 has 108 divisors (see below), whose sum is σ = 369382572. Its totient is φ = 35616672.

The previous prime is 135195601. The next prime is 135195607. The reversal of 135195606 is 606591531.

135195606 is a `hidden beast` number, since 1 + 35 + 19 + 5 + 606 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135195601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 148605 + ... + 149511.

It is an arithmetic number, because the mean of its divisors is an integer number (3420209).

Almost surely, 2135195606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135195606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184691286).

135195606 is an abundant number, since it is smaller than the sum of its proper divisors (234186966).

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

135195606 is a wasteful number, since it uses less digits than its factorization.

135195606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 135195606 is about 11627.3645337196. The cubic root of 135195606 is about 513.2404285495.

The spelling of 135195606 in words is "one hundred thirty-five million, one hundred ninety-five thousand, six hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 169 182 234 273 294 338 441 507 546 637 819 882 907 1014 1183 1274 1521 1638 1814 1911 2366 2721 3042 3549 3822 5442 5733 6349 7098 8163 8281 10647 11466 11791 12698 16326 16562 19047 21294 23582 24843 35373 38094 44443 49686 57141 70746 74529 82537 88886 106119 114282 133329 149058 153283 165074 212238 247611 266658 306566 399987 459849 495222 577759 742833 799974 919698 1072981 1155518 1379547 1485666 1733277 2145962 2759094 3218943 3466554 5199831 6437886 7510867 9656829 10399662 15021734 19313658 22532601 45065202 67597803 135195606