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134613405312 = 2731935713181
BaseRepresentation
bin111110101011110010…
…1011000111010000000
3110212110102212111222020
41331113211120322000
54201142012432222
6141501320241440
712503563031421
oct1752745307200
9425412774866
10134613405312
11520a88378a1
1222109910280
13c903906669
146730095648
15377cda365c
hex1f57958e80

134613405312 has 128 divisors (see below), whose sum is σ = 360162179520. Its totient is φ = 44546457600.

The previous prime is 134613405299. The next prime is 134613405313. The reversal of 134613405312 is 213504316431.

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

It is not an unprimeable number, because it can be changed into a prime (134613405313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42316362 + ... + 42319542.

Almost surely, 2134613405312 is an apocalyptic number.

134613405312 is a gapful number since it is divisible by the number (12) 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 134613405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180081089760).

134613405312 is an abundant number, since it is smaller than the sum of its proper divisors (225548774208).

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

134613405312 is a wasteful number, since it uses less digits than its factorization.

134613405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 134613405312 in words is "one hundred thirty-four billion, six hundred thirteen million, four hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 384 386 571 579 772 1142 1158 1544 1713 2284 2316 3088 3181 3426 4568 4632 6176 6362 6852 9136 9264 9543 12352 12724 13704 18272 18528 19086 24704 25448 27408 36544 37056 38172 50896 54816 73088 74112 76344 101792 109632 110203 152688 203584 219264 220406 305376 330609 407168 440812 610752 613933 661218 881624 1221504 1227866 1322436 1763248 1816351 1841799 2455732 2644872 3526496 3632702 3683598 4911464 5289744 5449053 7052992 7265404 7367196 9822928 10579488 10898106 14105984 14530808 14734392 19645856 21158976 21796212 29061616 29468784 39291712 42317952 43592424 58123232 58937568 78583424 87184848 116246464 117875136 174369696 232492928 235750272 348739392 350555743 697478784 701111486 1051667229 1402222972 2103334458 2804445944 4206668916 5608891888 8413337832 11217783776 16826675664 22435567552 33653351328 44871135104 67306702656 134613405312