Search a number
-
+
136081134 = 234733179
BaseRepresentation
bin10000001110001…
…10111011101110
3100111001122020000
420013012323232
5234314044014
621300405130
73241446000
oct1007067356
9314048200
10136081134
116a8a5852
12396a67a6
13222676a7
1414104370
15be30509
hex81c6eee

136081134 has 160 divisors (see below), whose sum is σ = 371712000. Its totient is φ = 37149840.

The previous prime is 136081123. The next prime is 136081151. The reversal of 136081134 is 431180631.

136081134 is a `hidden beast` number, since 13 + 608 + 11 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 136081098 and 136081107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1722507 + ... + 1722585.

It is an arithmetic number, because the mean of its divisors is an integer number (2323200).

Almost surely, 2136081134 is an apocalyptic number.

136081134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136081134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185856000).

136081134 is an abundant number, since it is smaller than the sum of its proper divisors (235630866).

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

136081134 is an equidigital number, since it uses as much as digits as its factorization.

136081134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 136081134 is about 11665.3818625881. The cubic root of 136081134 is about 514.3585617046.

The spelling of 136081134 in words is "one hundred thirty-six million, eighty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 79 81 93 98 126 147 158 162 186 189 217 237 279 294 343 378 434 441 474 553 558 567 651 686 711 837 882 1029 1106 1134 1302 1323 1422 1519 1659 1674 1953 2058 2133 2449 2511 2646 3038 3087 3318 3871 3906 3969 4266 4557 4898 4977 5022 5859 6174 6399 7347 7742 7938 9114 9261 9954 10633 11613 11718 12798 13671 14694 14931 17143 17577 18522 21266 22041 23226 27097 27342 27783 29862 31899 34286 34839 35154 41013 44082 44793 51429 54194 55566 63798 66123 69678 81291 82026 89586 95697 102858 104517 120001 123039 132246 154287 162582 191394 198369 209034 240002 243873 246078 287091 308574 313551 360003 396738 462861 487746 574182 627102 720006 731619 840007 861273 925722 1080009 1388583 1463238 1680014 1722546 2160018 2194857 2520021 2777166 3240027 4389714 5040042 6480054 7560063 9720081 15120126 19440162 22680189 45360378 68040567 136081134