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134610080 = 25511217409
BaseRepresentation
bin10000000010111…
…11110010100000
3100101021220022112
420001133302200
5233430010310
621205054452
73223111133
oct1001376240
9311256275
10134610080
1169a90600
12390b7428
1321b70c47
1413c4021a
15bc3e705
hex805fca0

134610080 has 144 divisors (see below), whose sum is σ = 371022120. Its totient is φ = 45957120.

The previous prime is 134610059. The next prime is 134610137. The reversal of 134610080 is 80016431.

134610080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 133911184 + 698896 = 11572^2 + 836^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328916 + ... + 329324.

Almost surely, 2134610080 is an apocalyptic number.

134610080 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 134610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185511060).

134610080 is an abundant number, since it is smaller than the sum of its proper divisors (236412040).

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

134610080 is a wasteful number, since it uses less digits than its factorization.

134610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 134610080 is about 11602.1584198803. The cubic root of 134610080 is about 512.4984160173.

The spelling of 134610080 in words is "one hundred thirty-four million, six hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 121 136 160 170 176 187 220 242 272 340 352 374 409 440 484 544 605 680 748 818 880 935 968 1210 1360 1496 1636 1760 1870 1936 2045 2057 2420 2720 2992 3272 3740 3872 4090 4114 4499 4840 5984 6544 6953 7480 8180 8228 8998 9680 10285 13088 13906 14960 16360 16456 17996 19360 20570 22495 27812 29920 32720 32912 34765 35992 41140 44990 49489 55624 65440 65824 69530 71984 76483 82280 89980 98978 111248 139060 143968 152966 164560 179960 197956 222496 247445 278120 305932 329120 359920 382415 395912 494890 556240 611864 719840 764830 791824 841313 989780 1112480 1223728 1529660 1583648 1682626 1979560 2447456 3059320 3365252 3959120 4206565 6118640 6730504 7918240 8413130 12237280 13461008 16826260 26922016 33652520 67305040 134610080