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134613413505 = 325293710925577
BaseRepresentation
bin111110101011110010…
…1011010111010000001
3110212110102212221012200
41331113211122322001
54201142013213010
6141501320343413
712503563064334
oct1752745327201
9425412787180
10134613413505
11520a8842a6a
1222109914b69
13c90390a2cc
14673009861b
15377cda5cc0
hex1f5795ae81

134613413505 has 96 divisors (see below), whose sum is σ = 250183533600. Its totient is φ = 66823335936.

The previous prime is 134613413503. The next prime is 134613413509. The reversal of 134613413505 is 505314316431.

134613413505 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 134 + 13 + 505 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21733540929 + 112879872576 = 147423^2 + 335976^2 .

It is not a de Polignac number, because 134613413505 - 21 = 134613413503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 134613413505.

It is not an unprimeable number, because it can be changed into a prime (134613413503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5250277 + ... + 5275853.

It is an arithmetic number, because the mean of its divisors is an integer number (2606078475).

Almost surely, 2134613413505 is an apocalyptic number.

134613413505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134613413505 is a deficient number, since it is larger than the sum of its proper divisors (115570120095).

134613413505 is a wasteful number, since it uses less digits than its factorization.

134613413505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25763 (or 25760 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 134613413505 its reverse (505314316431), we get a palindrome (639927729936).

The spelling of 134613413505 in words is "one hundred thirty-four billion, six hundred thirteen million, four hundred thirteen thousand, five hundred five".

Divisors: 1 3 5 9 15 29 37 45 87 109 111 145 185 261 327 333 435 545 555 981 1073 1305 1635 1665 3161 3219 4033 4905 5365 9483 9657 12099 15805 16095 20165 25577 28449 36297 47415 48285 60495 76731 116957 127885 142245 181485 230193 350871 383655 584785 741733 946349 1052613 1150965 1754355 2225199 2787893 2839047 3708665 4731745 5263065 6675597 8363679 8517141 11125995 13939465 14195235 25091037 27444121 33377985 41818395 42585705 80848897 82332363 103152041 125455185 137220605 242546691 246997089 309456123 404244485 411661815 515760205 727640073 928368369 1212733455 1234985445 1547280615 2991409189 3638200365 4641841845 8974227567 14957045945 26922682701 44871137835 134613413505