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134640501345 = 3357835633049
BaseRepresentation
bin111110101100100110…
…0110000001001100001
3110212112022212010202000
41331121030300021201
54201220432020340
6141504125114213
712504342243540
oct1753114601141
9425468763660
10134640501345
1152112064509
12221169b8969
13c90940290c
14673390a157
153780456d30
hex1f59330261

134640501345 has 128 divisors (see below), whose sum is σ = 277433856000. Its totient is φ = 60680461824.

The previous prime is 134640501323. The next prime is 134640501377. The reversal of 134640501345 is 543105046431.

134640501345 is a `hidden beast` number, since 1 + 3 + 4 + 640 + 5 + 0 + 1 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 134640501345 - 210 = 134640500321 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44157381 + ... + 44160429.

It is an arithmetic number, because the mean of its divisors is an integer number (2167452000).

Almost surely, 2134640501345 is an apocalyptic number.

134640501345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134640501345 is an abundant number, since it is smaller than the sum of its proper divisors (142793354655).

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

134640501345 is a wasteful number, since it uses less digits than its factorization.

134640501345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 134640501345 its reverse (543105046431), we get a palindrome (677745547776).

The spelling of 134640501345 in words is "one hundred thirty-four billion, six hundred forty million, five hundred one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 83 105 135 189 249 315 415 563 581 747 945 1245 1689 1743 2241 2815 2905 3049 3735 3941 5067 5229 8445 8715 9147 11205 11823 15201 15245 15687 19705 21343 25335 26145 27441 35469 45735 46729 59115 64029 76005 78435 82323 106407 106715 137205 140187 177345 192087 233645 253067 320145 327103 411615 420561 532035 576261 700935 759201 960435 981309 1261683 1265335 1635515 1716587 1771469 2102805 2277603 2881305 2943927 3796005 4906545 5149761 5314407 6308415 6832809 8582935 8831781 8857345 11388015 12016109 14719635 15449283 15943221 25748805 26572035 34164045 36048327 44158905 46347849 47829663 60080545 77246415 79716105 108144981 142476721 180241635 231739245 239148315 324434943 427430163 540724905 712383605 997337047 1282290489 1622174715 2137150815 2992011141 3846871467 4986685235 6411452445 8976033423 14960055705 19234357335 26928100269 44880167115 134640501345