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135040551246 = 233171947164729
BaseRepresentation
bin111110111000100001…
…0110100100101001110
3110220120012121210001000
41331301002310211032
54203030340114441
6142011535401130
712520300514016
oct1756102644516
9426505553030
10135040551246
11522a7963967
12222089831a6
13c971260b33
146770ac4c46
1537a562a2b6
hex1f710b494e

135040551246 has 128 divisors (see below), whose sum is σ = 341584128000. Its totient is φ = 39281697792.

The previous prime is 135040551241. The next prime is 135040551251. The reversal of 135040551246 is 642155040531.

135040551246 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 405 + 5 + 1 + 246 = 666.

It is an interprime number because it is at equal distance from previous prime (135040551241) and next prime (135040551251).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135040551246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135040551241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737410 + ... + 902138.

It is an arithmetic number, because the mean of its divisors is an integer number (2668626000).

Almost surely, 2135040551246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135040551246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170792064000).

135040551246 is an abundant number, since it is smaller than the sum of its proper divisors (206543576754).

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

135040551246 is a wasteful number, since it uses less digits than its factorization.

135040551246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164823 (or 164817 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 135040551246 its reverse (642155040531), we get a palindrome (777195591777).

The spelling of 135040551246 in words is "one hundred thirty-five billion, forty million, five hundred fifty-one thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 47 51 54 57 94 102 114 141 153 171 282 306 323 342 423 459 513 646 799 846 893 918 969 1026 1269 1598 1786 1938 2397 2538 2679 2907 4794 5358 5814 7191 8037 8721 14382 15181 16074 17442 21573 24111 30362 43146 45543 48222 91086 136629 164729 273258 329458 409887 494187 819774 988374 1482561 2800393 2965122 3129851 4447683 5600786 6259702 7742263 8401179 8895366 9389553 15484526 16802358 18779106 23226789 25203537 28168659 46453578 50407074 53207467 56337318 69680367 75610611 84505977 106414934 131618471 139360734 147102997 151221222 159622401 169011954 209041101 263236942 294205994 319244802 394855413 418082202 441308991 478867203 789710826 882617982 957734406 1184566239 1323926973 1436601609 2369132478 2500750949 2647853946 2873203218 3553698717 3971780919 5001501898 7107397434 7502252847 7943561838 15004505694 22506758541 45013517082 67520275623 135040551246