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134640 = 243251117
BaseRepresentation
bin100000110111110000
320211200200
4200313300
513302030
62515200
71100352
oct406760
9224620
10134640
1192180
1265b00
134938c
14370d2
1529d60
hex20df0

134640 has 120 divisors (see below), whose sum is σ = 522288. Its totient is φ = 30720.

The previous prime is 134639. The next prime is 134669. The reversal of 134640 is 46431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1346403 = 7322233324032000, which contains 333 as substring.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7912 + ... + 7928.

2134640 is an apocalyptic number.

134640 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 134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261144).

134640 is an abundant number, since it is smaller than the sum of its proper divisors (387648).

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

134640 is a wasteful number, since it uses less digits than its factorization.

134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 38 counting only the distinct ones).

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

The square root of 134640 is about 366.9332364341. The cubic root of 134640 is about 51.2536384488.

Subtracting from 134640 its reverse (46431), we obtain a square (88209 = 2972).

The spelling of 134640 in words is "one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 30 33 34 36 40 44 45 48 51 55 60 66 68 72 80 85 88 90 99 102 110 120 132 136 144 153 165 170 176 180 187 198 204 220 240 255 264 272 306 330 340 360 374 396 408 440 495 510 528 561 612 660 680 720 748 765 792 816 880 935 990 1020 1122 1224 1320 1360 1496 1530 1584 1683 1870 1980 2040 2244 2448 2640 2805 2992 3060 3366 3740 3960 4080 4488 5610 6120 6732 7480 7920 8415 8976 11220 12240 13464 14960 16830 22440 26928 33660 44880 67320 134640