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134385763234080 = 25352231255472377
BaseRepresentation
bin11110100011100100011111…
…101011100011000100100000
3122121211011010220021201100010
4132203210133223203010200
5120103234020341442310
61153451544540524520
740210023330124461
oct3643443753430440
9577734126251303
10134385763234080
1139901755a09246
12130a4a40250740
1359ca6a53222b7
14252843c994d68
151080a3714b320
hex7a391fae3120

134385763234080 has 96 divisors (see below), whose sum is σ = 425213428760064. Its totient is φ = 35675503036416.

The previous prime is 134385763234061. The next prime is 134385763234117. The reversal of 134385763234080 is 80432367583431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 134385763234080.

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 15 ways as a sum of consecutive naturals, for example, 627629149 + ... + 627843228.

It is an arithmetic number, because the mean of its divisors is an integer number (4429306549584).

Almost surely, 2134385763234080 is an apocalyptic number.

134385763234080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134385763234080 is an abundant number, since it is smaller than the sum of its proper divisors (290827665525984).

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

134385763234080 is a wasteful number, since it uses less digits than its factorization.

134385763234080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255472618 (or 1255472610 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 134385763234080 in words is "one hundred thirty-four trillion, three hundred eighty-five billion, seven hundred sixty-three million, two hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 223 240 446 480 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 7136 8920 10704 13380 17840 21408 26760 35680 53520 107040 1255472377 2510944754 3766417131 5021889508 6277361885 7532834262 10043779016 12554723770 15065668524 18832085655 20087558032 25109447540 30131337048 37664171310 40175116064 50218895080 60262674096 75328342620 100437790160 120525348192 150656685240 200875580320 279970340071 301313370480 559940680142 602626740960 839911020213 1119881360284 1399851700355 1679822040426 2239762720568 2799703400710 3359644080852 4199555101065 4479525441136 5599406801420 6719288161704 8399110202130 8959050882272 11198813602840 13438576323408 16798220404260 22397627205680 26877152646816 33596440808520 44795254411360 67192881617040 134385763234080