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134416160 = 2552959491
BaseRepresentation
bin10000000001100…
…00011100100000
3100100221001022022
420000300130200
5233402304120
621201001012
73221342564
oct1000603440
9310831268
10134416160
116996893a
1239023168
1321b038b8
1413bcd6a4
15bc02025
hex8030720

134416160 has 96 divisors (see below), whose sum is σ = 334756800. Its totient is φ = 50928640.

The previous prime is 134416147. The next prime is 134416207. The reversal of 134416160 is 61614431.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 273515 + ... + 274005.

It is an arithmetic number, because the mean of its divisors is an integer number (3487050).

Almost surely, 2134416160 is an apocalyptic number.

134416160 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 134416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167378400).

134416160 is an abundant number, since it is smaller than the sum of its proper divisors (200340640).

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

134416160 is a wasteful number, since it uses less digits than its factorization.

134416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 134416160 is about 11593.7983422173. The cubic root of 134416160 is about 512.2521950922.

The spelling of 134416160 in words is "one hundred thirty-four million, four hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 59 80 116 118 145 160 232 236 290 295 464 472 491 580 590 928 944 982 1160 1180 1711 1888 1964 2320 2360 2455 3422 3928 4640 4720 4910 6844 7856 8555 9440 9820 13688 14239 15712 17110 19640 27376 28478 28969 34220 39280 54752 56956 57938 68440 71195 78560 113912 115876 136880 142390 144845 227824 231752 273760 284780 289690 455648 463504 569560 579380 840101 927008 1139120 1158760 1680202 2278240 2317520 3360404 4200505 4635040 6720808 8401010 13441616 16802020 26883232 33604040 67208080 134416160