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134682960 = 24352937523
BaseRepresentation
bin10000000011100…
…01100101010000
3100101102121021210
420001301211100
5233434323320
621210420120
73223533456
oct1001614520
9311377253
10134682960
116a030335
1239131640
1321b98179
1413c5c9d6
15bc560e0
hex8071950

134682960 has 160 divisors (see below), whose sum is σ = 444435840. Its totient is φ = 33675264.

The previous prime is 134682949. The next prime is 134682971. The reversal of 134682960 is 69286431.

It is an interprime number because it is at equal distance from previous prime (134682949) and next prime (134682971).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257259 + ... + 257781.

It is an arithmetic number, because the mean of its divisors is an integer number (2777724).

Almost surely, 2134682960 is an apocalyptic number.

134682960 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 134682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222217920).

134682960 is an abundant number, since it is smaller than the sum of its proper divisors (309752880).

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

134682960 is a wasteful number, since it uses less digits than its factorization.

134682960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 134682960 is about 11605.2987897770. The cubic root of 134682960 is about 512.5908908795.

The spelling of 134682960 in words is "one hundred thirty-four million, six hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 37 40 48 58 60 74 80 87 111 116 120 145 148 174 185 222 232 240 290 296 348 370 435 444 464 523 555 580 592 696 740 870 888 1046 1073 1110 1160 1392 1480 1569 1740 1776 2092 2146 2220 2320 2615 2960 3138 3219 3480 4184 4292 4440 5230 5365 6276 6438 6960 7845 8368 8584 8880 10460 10730 12552 12876 15167 15690 16095 17168 19351 20920 21460 25104 25752 30334 31380 32190 38702 41840 42920 45501 51504 58053 60668 62760 64380 75835 77404 85840 91002 96755 116106 121336 125520 128760 151670 154808 182004 193510 227505 232212 242672 257520 290265 303340 309616 364008 387020 455010 464424 561179 580530 606680 728016 774040 910020 928848 1122358 1161060 1213360 1548080 1683537 1820040 2244716 2322120 2805895 3367074 3640080 4489432 4644240 5611790 6734148 8417685 8978864 11223580 13468296 16835370 22447160 26936592 33670740 44894320 67341480 134682960