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135499896 = 233272193199
BaseRepresentation
bin10000001001110…
…01000001111000
3100102222002220200
420010321001320
5234141444041
621240122200
73233505300
oct1004710170
9312862820
10135499896
116a539094
1239466360
13220c2c6c
1413dd2600
15bd681b6
hex8139078

135499896 has 144 divisors (see below), whose sum is σ = 431262000. Its totient is φ = 38320128.

The previous prime is 135499867. The next prime is 135499927. The reversal of 135499896 is 698994531.

135499896 is a `hidden beast` number, since 1 + 3 + 549 + 9 + 8 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 680805 + ... + 681003.

It is an arithmetic number, because the mean of its divisors is an integer number (2994875).

Almost surely, 2135499896 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 135499896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215631000).

135499896 is an abundant number, since it is smaller than the sum of its proper divisors (295762104).

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

135499896 is a wasteful number, since it uses less digits than its factorization.

135499896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 135499896 is about 11640.4422596395. The cubic root of 135499896 is about 513.6251967433.

The spelling of 135499896 in words is "one hundred thirty-five million, four hundred ninety-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 193 196 199 252 294 386 392 398 441 504 579 588 597 772 796 882 1158 1176 1194 1351 1393 1544 1592 1737 1764 1791 2316 2388 2702 2786 3474 3528 3582 4053 4179 4632 4776 5404 5572 6948 7164 8106 8358 9457 9751 10808 11144 12159 12537 13896 14328 16212 16716 18914 19502 24318 25074 28371 29253 32424 33432 37828 38407 39004 48636 50148 56742 58506 75656 76814 78008 85113 87759 97272 100296 113484 115221 117012 153628 170226 175518 226968 230442 234024 268849 307256 340452 345663 351036 460884 537698 680904 691326 702072 806547 921768 1075396 1382652 1613094 1881943 2150792 2419641 2765304 3226188 3763886 4839282 5645829 6452376 7527772 9678564 11291658 15055544 16937487 19357128 22583316 33874974 45166632 67749948 135499896