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134981760 = 2735229307
BaseRepresentation
bin10000000101110…
…10100010000000
3100101222210011110
420002322202000
5234023404020
621221043320
73226216554
oct1002724200
9311883143
10134981760
116a214881
1239256540
1321c71184
1413cd9864
15bcb48e0
hex80ba880

134981760 has 128 divisors (see below), whose sum is σ = 433540800. Its totient is φ = 35721216.

The previous prime is 134981741. The next prime is 134981771. The reversal of 134981760 is 67189431.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439527 + ... + 439833.

Almost surely, 2134981760 is an apocalyptic number.

134981760 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 134981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216770400).

134981760 is an abundant number, since it is smaller than the sum of its proper divisors (298559040).

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

134981760 is a wasteful number, since it uses less digits than its factorization.

134981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 134981760 is about 11618.1650874826. The cubic root of 134981760 is about 512.9696792874.

The spelling of 134981760 in words is "one hundred thirty-four million, nine hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 229 240 307 320 384 458 480 614 640 687 916 921 960 1145 1228 1374 1535 1832 1842 1920 2290 2456 2748 3070 3435 3664 3684 4580 4605 4912 5496 6140 6870 7328 7368 9160 9210 9824 10992 12280 13740 14656 14736 18320 18420 19648 21984 24560 27480 29312 29472 36640 36840 39296 43968 49120 54960 58944 70303 73280 73680 87936 98240 109920 117888 140606 146560 147360 196480 210909 219840 281212 294720 351515 421818 439680 562424 589440 703030 843636 1054545 1124848 1406060 1687272 2109090 2249696 2812120 3374544 4218180 4499392 5624240 6749088 8436360 8998784 11248480 13498176 16872720 22496960 26996352 33745440 44993920 67490880 134981760