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134261160 = 233511372749
BaseRepresentation
bin10000000000010…
…10100110101000
3100100122011200120
420000022212220
5233332324120
621153403240
73220125645
oct1000124650
9310564616
10134261160
1169872440
1238b69520
1321a7b197
1413b8cdcc
15bbc1140
hex800a9a8

134261160 has 128 divisors (see below), whose sum is σ = 451440000. Its totient is φ = 31656960.

The previous prime is 134261159. The next prime is 134261173. The reversal of 134261160 is 61162431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134261160.

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, 47466 + ... + 50214.

It is an arithmetic number, because the mean of its divisors is an integer number (3526875).

Almost surely, 2134261160 is an apocalyptic number.

134261160 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 134261160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225720000).

134261160 is an abundant number, since it is smaller than the sum of its proper divisors (317178840).

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

134261160 is a wasteful number, since it uses less digits than its factorization.

134261160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 134261160 is about 11587.1118057953. Note that the first 3 decimals coincide. The cubic root of 134261160 is about 512.0552206880.

It can be divided in two parts, 134261 and 160, that added together give a triangular number (134421 = T518).

The spelling of 134261160 in words is "one hundred thirty-four million, two hundred sixty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 2749 3256 4070 4440 4884 5498 6105 8140 8247 9768 10996 12210 13745 16280 16494 21992 24420 27490 30239 32988 41235 48840 54980 60478 65976 82470 90717 101713 109960 120956 151195 164940 181434 203426 241912 302390 305139 329880 362868 406852 453585 508565 604780 610278 725736 813704 907170 1017130 1118843 1209560 1220556 1525695 1814340 2034260 2237686 2441112 3051390 3356529 3628680 4068520 4475372 5594215 6102780 6713058 8950744 11188430 12205560 13426116 16782645 22376860 26852232 33565290 44753720 67130580 134261160