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134760132 = 223313531811
BaseRepresentation
bin10000000100001…
…00011011000100
3100101120112011000
420002010123010
5233444311012
621212213300
73224304453
oct1002043304
9311515130
10134760132
116a083311
123916a230
1321bc4330
1413c7cb9a
15bc6dddc
hex80846c4

134760132 has 96 divisors (see below), whose sum is σ = 383564160. Its totient is φ = 40659840.

The previous prime is 134760121. The next prime is 134760133. The reversal of 134760132 is 231067431.

134760132 is a `hidden beast` number, since 13 + 47 + 601 + 3 + 2 = 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 = 134760096 and 134760105.

It is not an unprimeable number, because it can be changed into a prime (134760133) 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, 73507 + ... + 75317.

It is an arithmetic number, because the mean of its divisors is an integer number (3995460).

Almost surely, 2134760132 is an apocalyptic number.

134760132 is a gapful number since it is divisible by the number (12) 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 134760132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191782080).

134760132 is an abundant number, since it is smaller than the sum of its proper divisors (248804028).

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

134760132 is a wasteful number, since it uses less digits than its factorization.

134760132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 134760132 is about 11608.6231741753. The cubic root of 134760132 is about 512.6887753515.

The spelling of 134760132 in words is "one hundred thirty-four million, seven hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 106 108 117 156 159 212 234 318 351 468 477 636 689 702 954 1378 1404 1431 1811 1908 2067 2756 2862 3622 4134 5433 5724 6201 7244 8268 10866 12402 16299 18603 21732 23543 24804 32598 37206 47086 48897 65196 70629 74412 94172 95983 97794 141258 191966 195588 211887 282516 287949 383932 423774 575898 635661 847548 863847 1151796 1247779 1271322 1727694 2495558 2542644 2591541 3455388 3743337 4991116 5183082 7486674 10366164 11230011 14973348 22460022 33690033 44920044 67380066 134760132