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135506056 = 23771173197
BaseRepresentation
bin10000001001110…
…10100010001000
3100102222102100211
420010322202020
5234142143211
621240210504
73233532250
oct1004724210
9312872324
10135506056
116a542784
1239469a34
13220c59ca
1413dd4960
15bd69e21
hex813a888

135506056 has 64 divisors (see below), whose sum is σ = 297665280. Its totient is φ = 56636160.

The previous prime is 135506047. The next prime is 135506089. The reversal of 135506056 is 650605531.

135506056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 687750 + ... + 687946.

It is an arithmetic number, because the mean of its divisors is an integer number (4651020).

Almost surely, 2135506056 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 135506056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148832640).

135506056 is an abundant number, since it is smaller than the sum of its proper divisors (162159224).

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

135506056 is a wasteful number, since it uses less digits than its factorization.

135506056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 135506056 is about 11640.7068513901. The cubic root of 135506056 is about 513.6329799799.

The spelling of 135506056 in words is "one hundred thirty-five million, five hundred six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 56 71 142 173 197 284 346 394 497 568 692 788 994 1211 1379 1384 1576 1988 2422 2758 3976 4844 5516 9688 11032 12283 13987 24566 27974 34081 49132 55948 68162 85981 97909 98264 111896 136324 171962 195818 238567 272648 343924 391636 477134 687848 783272 954268 1908536 2419751 4839502 9679004 16938257 19358008 33876514 67753028 135506056