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134064 = 24327219
BaseRepresentation
bin100000101110110000
320210220100
4200232300
513242224
62512400
71065600
oct405660
9223810
10134064
11917a7
1265700
1349038
1436c00
1529ac9
hex20bb0

134064 has 90 divisors (see below), whose sum is σ = 459420. Its totient is φ = 36288.

The previous prime is 134059. The next prime is 134077. The reversal of 134064 is 460431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

134064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7047 + ... + 7065.

2134064 is an apocalyptic number.

134064 is a gapful number since it is divisible by the number (14) 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 134064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229710).

134064 is an abundant number, since it is smaller than the sum of its proper divisors (325356).

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

134064 is a wasteful number, since it uses less digits than its factorization.

134064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134064 is about 366.1475112574. The cubic root of 134064 is about 51.1804450062.

Adding to 134064 its reverse (460431), we get a palindrome (594495).

The spelling of 134064 in words is "one hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 49 56 57 63 72 76 84 98 112 114 126 133 144 147 152 168 171 196 228 252 266 294 304 336 342 392 399 441 456 504 532 588 684 784 798 882 912 931 1008 1064 1176 1197 1368 1596 1764 1862 2128 2352 2394 2736 2793 3192 3528 3724 4788 5586 6384 7056 7448 8379 9576 11172 14896 16758 19152 22344 33516 44688 67032 134064