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135469080474 = 237134133717957
BaseRepresentation
bin111111000101010010…
…1100001111110011010
3110221200001222022121220
41332022211201332122
54204420041033344
6142122244312510
712534023120250
oct1761245417632
9427601868556
10135469080474
11524a7845252
12223083a2736
13ca0bc80b20
1467b19945d0
1537cd076c19
hex1f8a961f9a

135469080474 has 128 divisors (see below), whose sum is σ = 342628296192. Its totient is φ = 34751324160.

The previous prime is 135469080451. The next prime is 135469080491. The reversal of 135469080474 is 474080964531.

It is a happy number.

It is a super-3 number, since 3×1354690804743 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7535104 + ... + 7553060.

It is an arithmetic number, because the mean of its divisors is an integer number (2676783564).

Almost surely, 2135469080474 is an apocalyptic number.

135469080474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135469080474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171314148096).

135469080474 is an abundant number, since it is smaller than the sum of its proper divisors (207159215718).

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

135469080474 is a wasteful number, since it uses less digits than its factorization.

135469080474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18360.

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 135469080474 in words is "one hundred thirty-five billion, four hundred sixty-nine million, eighty thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 337 533 546 574 674 861 1011 1066 1599 1722 2022 2359 3198 3731 4381 4718 7077 7462 8762 11193 13143 13817 14154 17957 22386 26286 27634 30667 35914 41451 53871 61334 82902 92001 96719 107742 125699 179621 184002 193438 233441 251398 290157 359242 377097 466882 538863 580314 700323 736237 754194 1077726 1257347 1400646 1472474 1634087 2208711 2514694 3268174 3772041 4417422 4902261 5153659 6051509 7544082 9571081 9804522 10307318 12103018 15460977 18154527 19142162 28713243 30921954 36309054 42360563 57426486 66997567 78669617 84721126 127081689 133995134 157339234 200992701 236008851 248111869 254163378 401985402 472017702 496223738 550687319 744335607 1101374638 1488671214 1652061957 1736783083 3225454297 3304123914 3473566166 5210349249 6450908594 9676362891 10420698498 19352725782 22578180079 45156360158 67734540237 135469080474