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134866944 = 21135271
BaseRepresentation
bin10000000100111…
…10100000000000
3100101202221200000
420002132200000
5234011220234
621214400000
73225231042
oct1002364000
9311687600
10134866944
116a146593
1239200000
1321c30b34
1413ca9a92
15bc90899
hex809e800

134866944 has 144 divisors (see below), whose sum is σ = 405437760. Its totient is φ = 44789760.

The previous prime is 134866937. The next prime is 134866987. The reversal of 134866944 is 449668431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134866944.

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 11 ways as a sum of consecutive naturals, for example, 497529 + ... + 497799.

It is an arithmetic number, because the mean of its divisors is an integer number (2815540).

Almost surely, 2134866944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202718880).

134866944 is an abundant number, since it is smaller than the sum of its proper divisors (270570816).

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

134866944 is an frugal number, since it uses more digits than its factorization.

134866944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 276 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 134866944 is about 11613.2228085058. Note that the first 3 decimals coincide. The cubic root of 134866944 is about 512.8241933739.

The spelling of 134866944 in words is "one hundred thirty-four million, eight hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 271 288 324 384 432 486 512 542 576 648 768 813 864 972 1024 1084 1152 1296 1536 1626 1728 1944 2048 2168 2304 2439 2592 3072 3252 3456 3888 4336 4608 4878 5184 6144 6504 6912 7317 7776 8672 9216 9756 10368 13008 13824 14634 15552 17344 18432 19512 20736 21951 26016 27648 29268 31104 34688 39024 41472 43902 52032 55296 58536 62208 65853 69376 78048 82944 87804 104064 117072 124416 131706 138752 156096 165888 175608 208128 234144 248832 263412 277504 312192 351216 416256 468288 497664 526824 555008 624384 702432 832512 936576 1053648 1248768 1404864 1665024 1873152 2107296 2497536 2809728 3746304 4214592 4995072 5619456 7492608 8429184 11238912 14985216 16858368 22477824 33716736 44955648 67433472 134866944