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135193170 = 235719311093
BaseRepresentation
bin10000000111011…
…10001001010010
3100102101112011110
420003232021102
5234102140140
621225354150
73231060120
oct1003561122
9312345143
10135193170
116a3496a2
1239338956
1322016478
1413d52910
15bd07380
hex80ee252

135193170 has 128 divisors (see below), whose sum is σ = 403292160. Its totient is φ = 28304640.

The previous prime is 135193133. The next prime is 135193181. The reversal of 135193170 is 71391531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123144 + ... + 124236.

It is an arithmetic number, because the mean of its divisors is an integer number (3150720).

Almost surely, 2135193170 is an apocalyptic number.

135193170 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 135193170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201646080).

135193170 is an abundant number, since it is smaller than the sum of its proper divisors (268098990).

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

135193170 is a wasteful number, since it uses less digits than its factorization.

135193170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 135193170 is about 11627.2597803610. The cubic root of 135193170 is about 513.2373459513.

The spelling of 135193170 in words is "one hundred thirty-five million, one hundred ninety-three thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 31 35 38 42 57 62 70 93 95 105 114 133 155 186 190 210 217 266 285 310 399 434 465 570 589 651 665 798 930 1085 1093 1178 1302 1330 1767 1995 2170 2186 2945 3255 3279 3534 3990 4123 5465 5890 6510 6558 7651 8246 8835 10930 12369 15302 16395 17670 20615 20767 22953 24738 32790 33883 38255 41230 41534 45906 61845 62301 67766 76510 101649 103835 114765 123690 124602 145369 169415 203298 207670 229530 237181 290738 311505 338830 436107 474362 508245 623010 643777 711543 726845 872214 1016490 1185905 1287554 1423086 1453690 1931331 2180535 2371810 3218885 3557715 3862662 4361070 4506439 6437770 7115430 9012878 9656655 13519317 19313310 22532195 27038634 45064390 67596585 135193170