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134127960 = 233517371777
BaseRepresentation
bin1111111111010…
…10000101011000
3100100101101222020
413333222011120
5233314043320
621150454440
73216032421
oct777520530
9310341866
10134127960
116979135a
1238b04420
1321a32675
1413b56648
15bb96940
hex7fea158

134127960 has 128 divisors (see below), whose sum is σ = 437814720. Its totient is φ = 32735232.

The previous prime is 134127953. The next prime is 134127971. The reversal of 134127960 is 69721431.

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, 74592 + ... + 76368.

Almost surely, 2134127960 is an apocalyptic number.

134127960 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 134127960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218907360).

134127960 is an abundant number, since it is smaller than the sum of its proper divisors (303686760).

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

134127960 is a wasteful number, since it uses less digits than its factorization.

134127960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 134127960 is about 11581.3626141314. The cubic root of 134127960 is about 511.8858286280.

The spelling of 134127960 in words is "one hundred thirty-four million, one hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1480 1777 1887 2040 2220 2516 3145 3554 3774 4440 5032 5331 6290 7108 7548 8885 9435 10662 12580 14216 15096 17770 18870 21324 25160 26655 30209 35540 37740 42648 53310 60418 65749 71080 75480 90627 106620 120836 131498 151045 181254 197247 213240 241672 262996 302090 328745 362508 394494 453135 525992 604180 657490 725016 788988 906270 986235 1117733 1208360 1314980 1577976 1812540 1972470 2235466 2629960 3353199 3625080 3944940 4470932 5588665 6706398 7889880 8941864 11177330 13412796 16765995 22354660 26825592 33531990 44709320 67063980 134127960