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134661114 = 23273171283
BaseRepresentation
bin10000000011011…
…00001111111010
3100101101111022200
420001230033322
5233433123424
621210131030
73223413000
oct1001541772
9311344280
10134661114
116a015985
1239120a76
1321b8b243
1413c54a70
15bc4e8c9
hex806c3fa

134661114 has 96 divisors (see below), whose sum is σ = 360547200. Its totient is φ = 36183168.

The previous prime is 134661103. The next prime is 134661119. The reversal of 134661114 is 411166431.

134661114 is a `hidden beast` number, since 1 + 3 + 46 + 611 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134661119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104317 + ... + 105599.

It is an arithmetic number, because the mean of its divisors is an integer number (3755700).

Almost surely, 2134661114 is an apocalyptic number.

134661114 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 134661114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180273600).

134661114 is an abundant number, since it is smaller than the sum of its proper divisors (225886086).

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

134661114 is a wasteful number, since it uses less digits than its factorization.

134661114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1312 counting only the distinct ones).

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

The square root of 134661114 is about 11604.3575436127. The cubic root of 134661114 is about 512.5631747623.

The spelling of 134661114 in words is "one hundred thirty-four million, six hundred sixty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 343 357 441 686 714 833 882 1029 1071 1283 1666 2058 2142 2499 2566 3087 3849 4998 5831 6174 7497 7698 8981 11547 11662 14994 17493 17962 21811 23094 26943 34986 43622 52479 53886 62867 65433 80829 104958 125734 130866 152677 161658 188601 196299 305354 377202 392598 440069 458031 565803 880138 916062 1068739 1131606 1320207 1374093 2137478 2640414 2748186 3206217 3960621 6412434 7481173 7921242 9618651 14962346 19237302 22443519 44887038 67330557 134661114