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134548601420800 = 210527750829249
BaseRepresentation
bin11110100101111100001001…
…100101111011110000000000
3122122101201110101001200120201
4132211330021211323300000
5120113421013430431200
61154054435120214544
740224546525642520
oct3645741145736000
9578351411050521
10134548601420800
1139964817911066
121311050646a454
135a0cb56599538
1425322893cd680
151084db7d67c6a
hex7a5f0997bc00

134548601420800 has 132 divisors (see below), whose sum is σ = 381162973738000. Its totient is φ = 46130948997120.

The previous prime is 134548601420789. The next prime is 134548601420833. The reversal of 134548601420800 is 8024106845431.

It is a super-2 number, since 2×1345486014208002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375235425 + ... + 375593824.

Almost surely, 2134548601420800 is an apocalyptic number.

134548601420800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134548601420800 is an abundant number, since it is smaller than the sum of its proper divisors (246614372317200).

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

134548601420800 is an equidigital number, since it uses as much as digits as its factorization.

134548601420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750829286 (or 750829263 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 134548601420800 in words is "one hundred thirty-four trillion, five hundred forty-eight billion, six hundred one million, four hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1024 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5120 5600 6400 7168 8960 11200 12800 17920 22400 25600 35840 44800 89600 179200 750829249 1501658498 3003316996 3754146245 5255804743 6006633992 7508292490 10511609486 12013267984 15016584980 18770731225 21023218972 24026535968 26279023715 30033169960 37541462450 42046437944 48053071936 52558047430 60066339920 75082924900 84092875888 96106143872 105116094860 120132679840 131395118575 150165849800 168185751776 192212287744 210232189720 240265359680 262790237150 300331699600 336371503552 384424575488 420464379440 480530719360 525580474300 600663399200 672743007104 768849150976 840928758880 961061438720 1051160948600 1201326798400 1345486014208 1681857517760 1922122877440 2102321897200 2402653596800 2690972028416 3363715035520 3844245754880 4204643794400 4805307193600 5381944056832 6727430071040 8409287588800 9610614387200 13454860142080 16818575177600 19221228774400 26909720284160 33637150355200 67274300710400 134548601420800