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135554688 = 273361643
BaseRepresentation
bin10000001010001…
…10011010000000
3100110001220002000
420011012122000
5234200222223
621241224000
73234124113
oct1005063200
9313056060
10135554688
116a576275
1239492000
1322111b99
141400857a
15bd79543
hex8146680

135554688 has 128 divisors (see below), whose sum is σ = 407265600. Its totient is φ = 44375040.

The previous prime is 135554677. The next prime is 135554693. The reversal of 135554688 is 886455531.

135554688 is a `hidden beast` number, since 1 + 35 + 554 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210495 + ... + 211137.

Almost surely, 2135554688 is an apocalyptic number.

135554688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135554688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203632800).

135554688 is an abundant number, since it is smaller than the sum of its proper divisors (271710912).

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

135554688 is an equidigital number, since it uses as much as digits as its factorization.

135554688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 709 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 135554688 is about 11642.7955405908. The cubic root of 135554688 is about 513.6944188365.

The spelling of 135554688 in words is "one hundred thirty-five million, five hundred fifty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 288 366 384 432 488 549 576 643 732 864 976 1098 1152 1286 1464 1647 1728 1929 1952 2196 2572 2928 3294 3456 3858 3904 4392 5144 5787 5856 6588 7716 7808 8784 10288 11574 11712 13176 15432 17361 17568 20576 23148 23424 26352 30864 34722 35136 39223 41152 46296 52704 61728 69444 70272 78446 82304 92592 105408 117669 123456 138888 156892 185184 210816 235338 246912 277776 313784 353007 370368 470676 555552 627568 706014 740736 941352 1059021 1111104 1255136 1412028 1882704 2118042 2222208 2510272 2824056 3765408 4236084 5020544 5648112 7530816 8472168 11296224 15061632 16944336 22592448 33888672 45184896 67777344 135554688