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134331132032 = 2717375928279
BaseRepresentation
bin111110100011011000…
…0100110100010000000
3110211201202201112211022
41331012300212202000
54200102232211112
6141413314205012
712463564532306
oct1750660464200
9424652645738
10134331132032
1151a73470799
122204b283768
13c88a2a4356
1467047b8276
1537631e6d72
hex1f46c26880

134331132032 has 128 divisors (see below), whose sum is σ = 295955856000. Its totient is φ = 60461531136.

The previous prime is 134331132031. The next prime is 134331132037. The reversal of 134331132032 is 230231133431.

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

It is a junction number, because it is equal to n+sod(n) for n = 134331131992 and 134331132010.

It is not an unprimeable number, because it can be changed into a prime (134331132031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4736069 + ... + 4764347.

It is an arithmetic number, because the mean of its divisors is an integer number (2312155125).

Almost surely, 2134331132032 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 134331132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147977928000).

134331132032 is an abundant number, since it is smaller than the sum of its proper divisors (161624723968).

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

134331132032 is a wasteful number, since it uses less digits than its factorization.

134331132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28406 (or 28394 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 134331132032 its reverse (230231133431), we get a palindrome (364562265463).

The spelling of 134331132032 in words is "one hundred thirty-four billion, three hundred thirty-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 37 59 64 68 74 118 128 136 148 236 272 296 472 544 592 629 944 1003 1088 1184 1258 1888 2006 2176 2183 2368 2516 3776 4012 4366 4736 5032 7552 8024 8732 10064 16048 17464 20128 28279 32096 34928 37111 40256 56558 64192 69856 74222 80512 113116 128384 139712 148444 226232 279424 296888 452464 480743 593776 904928 961486 1046323 1187552 1668461 1809856 1922972 2092646 2375104 3336922 3619712 3845944 4185292 4750208 6673844 7691888 8370584 13347688 15383776 16741168 17787491 26695376 28363837 30767552 33482336 35574982 53390752 56727674 61535104 61733057 66964672 71149964 106781504 113455348 123466114 133929344 142299928 213563008 226910696 246932228 284599856 453821392 493864456 569199712 907642784 987728912 1049461969 1138399424 1815285568 1975457824 2098923938 2276798848 3630571136 3950915648 4197847876 7901831296 8395695752 16791391504 33582783008 67165566016 134331132032