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136166160 = 243513192297
BaseRepresentation
bin10000001110110…
…11101100010000
3100111012221212010
420013123230100
5234324304120
621302302520
73242251614
oct1007335420
9314187763
10136166160
116a953719
1239727a40
13222972c0
1414127344
15be4a7e0
hex81dbb10

136166160 has 160 divisors (see below), whose sum is σ = 478719360. Its totient is φ = 31739904.

The previous prime is 136166113. The next prime is 136166161. The reversal of 136166160 is 61661631.

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

It is not an unprimeable number, because it can be changed into a prime (136166161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58132 + ... + 60428.

It is an arithmetic number, because the mean of its divisors is an integer number (2991996).

Almost surely, 2136166160 is an apocalyptic number.

136166160 is a gapful number since it is divisible by the number (10) 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 136166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239359680).

136166160 is an abundant number, since it is smaller than the sum of its proper divisors (342553200).

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

136166160 is a wasteful number, since it uses less digits than its factorization.

136166160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 136166160 is about 11669.0256662671. The cubic root of 136166160 is about 514.4656663031.

The spelling of 136166160 in words is "one hundred thirty-six million, one hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2297 2470 2964 3120 3705 3952 4560 4594 4940 5928 6891 7410 9188 9880 11485 11856 13782 14820 18376 19760 22970 27564 29640 29861 34455 36752 43643 45940 55128 59280 59722 68910 87286 89583 91880 110256 119444 130929 137820 149305 174572 179166 183760 218215 238888 261858 275640 298610 349144 358332 436430 447915 477776 523716 551280 567359 597220 654645 698288 716664 872860 895830 1047432 1134718 1194440 1309290 1433328 1702077 1745720 1791660 2094864 2269436 2388880 2618580 2836795 3404154 3491440 3583320 4538872 5237160 5673590 6808308 7166640 8510385 9077744 10474320 11347180 13616616 17020770 22694360 27233232 34041540 45388720 68083080 136166160