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135755190 = 2345198821
BaseRepresentation
bin10000001011101…
…11010110110110
3100110110002010000
420011313112312
5234223131230
621245412130
73235620504
oct1005672666
9313402100
10135755190
116a6a297a
123956a046
132218221c
141405b674
15bdb8b60
hex81775b6

135755190 has 80 divisors (see below), whose sum is σ = 384286320. Its totient is φ = 34292160.

The previous prime is 135755189. The next prime is 135755203. The reversal of 135755190 is 91557531.

135755190 is a `hidden beast` number, since 13 + 5 + 7 + 551 + 90 = 666.

It is a super-2 number, since 2×1357551902 = 36858943223872200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10980 + ... + 19800.

It is an arithmetic number, because the mean of its divisors is an integer number (4803579).

Almost surely, 2135755190 is an apocalyptic number.

135755190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135755190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192143160).

135755190 is an abundant number, since it is smaller than the sum of its proper divisors (248531130).

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

135755190 is a wasteful number, since it uses less digits than its factorization.

135755190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8850 counting only the distinct ones).

The product of its (nonzero) digits is 23625, while the sum is 36.

The square root of 135755190 is about 11651.4029198204. The cubic root of 135755190 is about 513.9475664037.

The spelling of 135755190 in words is "one hundred thirty-five million, seven hundred fifty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 8821 15390 17642 26463 44105 52926 79389 88210 132315 158778 167599 238167 264630 335198 396945 476334 502797 714501 793890 837995 1005594 1190835 1429002 1508391 1675990 2381670 2513985 3016782 3572505 4525173 5027970 7145010 7541955 9050346 13575519 15083910 22625865 27151038 45251730 67877595 135755190