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134520960 = 2735710009
BaseRepresentation
bin10000000010010…
…10000010000000
3100101010101001210
420001022002000
5233414132320
621203130120
73222260250
oct1001120200
9311111053
10134520960
1169a2a652
1239073940
1321b3c502
1413c19960
15bc230e0
hex804a080

134520960 has 128 divisors (see below), whose sum is σ = 490089600. Its totient is φ = 30744576.

The previous prime is 134520941. The next prime is 134520961. The reversal of 134520960 is 69025431.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (134520961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8436 + ... + 18444.

It is an arithmetic number, because the mean of its divisors is an integer number (3828825).

Almost surely, 2134520960 is an apocalyptic number.

134520960 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 134520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245044800).

134520960 is an abundant number, since it is smaller than the sum of its proper divisors (355568640).

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

134520960 is a wasteful number, since it uses less digits than its factorization.

134520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 10026 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 134520960 is about 11598.3171193066. The cubic root of 134520960 is about 512.3852894170.

The spelling of 134520960 in words is "one hundred thirty-four million, five hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 10009 13440 20018 30027 40036 50045 60054 70063 80072 100090 120108 140126 150135 160144 200180 210189 240216 280252 300270 320288 350315 400360 420378 480432 560504 600540 640576 700630 800720 840756 960864 1050945 1121008 1201080 1281152 1401260 1601440 1681512 1921728 2101890 2242016 2402160 2802520 3202880 3363024 3843456 4203780 4484032 4804320 5605040 6405760 6726048 8407560 8968064 9608640 11210080 13452096 16815120 19217280 22420160 26904192 33630240 44840320 67260480 134520960