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134274462960 = 243511115144189
BaseRepresentation
bin111110100001101100…
…0011011010011110000
3110211120211002110110210
41331003120123103300
54144443230303320
6141403531424120
712462306050331
oct1750330332360
9424524073423
10134274462960
1151a44485450
12220342b5040
13c87b622561
1466db066288
15375d2510e0
hex1f4361b4f0

134274462960 has 160 divisors (see below), whose sum is σ = 454496624640. Its totient is φ = 32522368000.

The previous prime is 134274462929. The next prime is 134274462977. The reversal of 134274462960 is 69264472431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3016546 + ... + 3060734.

It is an arithmetic number, because the mean of its divisors is an integer number (2840603904).

Almost surely, 2134274462960 is an apocalyptic number.

134274462960 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 134274462960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227248312320).

134274462960 is an abundant number, since it is smaller than the sum of its proper divisors (320222161680).

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

134274462960 is a wasteful number, since it uses less digits than its factorization.

134274462960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45367 (or 45361 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 134274462960 in words is "one hundred thirty-four billion, two hundred seventy-four million, four hundred sixty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1151 1320 2302 2640 3453 4604 5755 6906 9208 11510 12661 13812 17265 18416 23020 25322 27624 34530 37983 44189 46040 50644 55248 63305 69060 75966 88378 92080 101288 126610 132567 138120 151932 176756 189915 202576 220945 253220 265134 276240 303864 353512 379830 441890 486079 506440 530268 607728 662835 707024 759660 883780 972158 1012880 1060536 1325670 1458237 1519320 1767560 1944316 2121072 2430395 2651340 2916474 3038640 3535120 3888632 4860790 5302680 5832948 7291185 7777264 9721580 10605360 11665896 14582370 19443160 23331792 29164740 38886320 50861539 58329480 101723078 116658960 152584617 203446156 254307695 305169234 406892312 508615390 559476929 610338468 762923085 813784624 1017230780 1118953858 1220676936 1525846170 1678430787 2034461560 2237907716 2441353872 2797384645 3051692340 3356861574 4068923120 4475815432 5594769290 6103384680 6713723148 8392153935 8951630864 11189538580 12206769360 13427446296 16784307870 22379077160 26854892592 33568615740 44758154320 67137231480 134274462960