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134904560 = 24571931409
BaseRepresentation
bin10000000101001…
…11101011110000
3100101211212021012
420002213223300
5234013421220
621215250052
73225445520
oct1002475360
9311755235
10134904560
116a17187a
1239219928
1321c44cab
1413cb9680
15bc9bac5
hex80a7af0

134904560 has 160 divisors (see below), whose sum is σ = 390451200. Its totient is φ = 42301440.

The previous prime is 134904551. The next prime is 134904629. The reversal of 134904560 is 65409431.

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, 329636 + ... + 330044.

It is an arithmetic number, because the mean of its divisors is an integer number (2440320).

Almost surely, 2134904560 is an apocalyptic number.

134904560 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 134904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195225600).

134904560 is an abundant number, since it is smaller than the sum of its proper divisors (255546640).

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

134904560 is a wasteful number, since it uses less digits than its factorization.

134904560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 134904560 is about 11614.8422288036. The cubic root of 134904560 is about 512.8718665376.

The spelling of 134904560 in words is "one hundred thirty-four million, nine hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 152 155 190 217 248 266 280 304 310 380 409 434 496 532 560 589 620 665 760 818 868 1064 1085 1178 1240 1330 1520 1636 1736 2045 2128 2170 2356 2480 2660 2863 2945 3272 3472 4090 4123 4340 4712 5320 5726 5890 6544 7771 8180 8246 8680 9424 10640 11452 11780 12679 14315 15542 16360 16492 17360 20615 22904 23560 25358 28630 31084 32720 32984 38855 41230 45808 47120 50716 54397 57260 62168 63395 65968 77710 82460 88753 101432 108794 114520 124336 126790 155420 164920 177506 202864 217588 229040 240901 253580 271985 310840 329840 355012 435176 443765 481802 507160 543970 621680 710024 870352 887530 963604 1014320 1087940 1204505 1420048 1686307 1775060 1927208 2175880 2409010 3372614 3550120 3854416 4351760 4818020 6745228 7100240 8431535 9636040 13490456 16863070 19272080 26980912 33726140 67452280 134904560