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135052144005 = 35174381115187
BaseRepresentation
bin111110111000110111…
…1000010110110000101
3110220121000102202022110
41331301233002312011
54203041322102010
6142013032051233
712520501166112
oct1756157026605
9426530382273
10135052144005
1152303461759
1222210833b19
13c97378c65c
146772461909
1537a666a120
hex1f71bc2d85

135052144005 has 64 divisors (see below), whose sum is σ = 234419125248. Its totient is φ = 66128348160.

The previous prime is 135052143973. The next prime is 135052144009. The reversal of 135052144005 is 500441250531.

It is not a de Polignac number, because 135052144005 - 25 = 135052143973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135052144009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8885022 + ... + 8900208.

It is an arithmetic number, because the mean of its divisors is an integer number (3662798832).

Almost surely, 2135052144005 is an apocalyptic number.

135052144005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135052144005 is a deficient number, since it is larger than the sum of its proper divisors (99366981243).

135052144005 is a wasteful number, since it uses less digits than its factorization.

135052144005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16066.

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 135052144005 its reverse (500441250531), we get a palindrome (635493394536).

The spelling of 135052144005 in words is "one hundred thirty-five billion, fifty-two million, one hundred forty-four thousand, five".

Divisors: 1 3 5 15 17 43 51 85 129 215 255 645 731 811 2193 2433 3655 4055 10965 12165 13787 15187 34873 41361 45561 68935 75935 104619 174365 206805 227805 258179 523095 592841 653041 774537 1290895 1778523 1959123 2964205 3265205 3872685 8892615 9795615 11101697 12316657 33305091 36949971 55508485 61583285 166525455 184749855 209383169 529616251 628149507 1046915845 1588848753 2648081255 3140747535 7944243765 9003476267 27010428801 45017381335 135052144005