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135605316 = 223711433413
BaseRepresentation
bin10000001010100…
…10110001000100
3100110011110112010
420011102301010
5234203332231
621242254220
73234424530
oct1005226104
9313143463
10135605316
116a600310
12394b7370
132212bc42
141401cbc0
15bd89546
hex8152c44

135605316 has 96 divisors (see below), whose sum is σ = 403780608. Its totient is φ = 34392960.

The previous prime is 135605297. The next prime is 135605329. The reversal of 135605316 is 613506531.

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, 38026 + ... + 41438.

It is an arithmetic number, because the mean of its divisors is an integer number (4206048).

Almost surely, 2135605316 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 135605316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201890304).

135605316 is an abundant number, since it is smaller than the sum of its proper divisors (268175292).

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

135605316 is a wasteful number, since it uses less digits than its factorization.

135605316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 135605316 is about 11644.9695577103. The cubic root of 135605316 is about 513.7583637144.

The spelling of 135605316 in words is "one hundred thirty-five million, six hundred five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 84 86 129 132 154 172 231 258 301 308 462 473 516 602 903 924 946 1204 1419 1806 1892 2838 3311 3413 3612 5676 6622 6826 9933 10239 13244 13652 19866 20478 23891 37543 39732 40956 47782 71673 75086 95564 112629 143346 146759 150172 225258 262801 286692 293518 440277 450516 525602 587036 788403 880554 1027313 1051204 1576806 1614349 1761108 2054626 3081939 3153612 3228698 4109252 4843047 6163878 6457396 9686094 11300443 12327756 19372188 22600886 33901329 45201772 67802658 135605316