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135237482172 = 223313210173361
BaseRepresentation
bin111110111110011001…
…0000011011010111100
3110221001221011220111000
41331330302003122330
54203431243412142
6142043252330300
712525211426452
oct1757462033274
9427057156430
10135237482172
115239903aaa1
1222262913990
13c9a2cb2200
14678cd089d2
1537b7a7a14c
hex1f7cc836bc

135237482172 has 144 divisors (see below), whose sum is σ = 383425025760. Its totient is φ = 41198976000.

The previous prime is 135237482141. The next prime is 135237482203. The reversal of 135237482172 is 271284732531.

135237482172 is a `hidden beast` number, since 1 + 35 + 2 + 374 + 82 + 172 = 666.

It is an interprime number because it is at equal distance from previous prime (135237482141) and next prime (135237482203).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1806772 + ... + 1880132.

It is an arithmetic number, because the mean of its divisors is an integer number (2662673790).

Almost surely, 2135237482172 is an apocalyptic number.

135237482172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135237482172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191712512880).

135237482172 is an abundant number, since it is smaller than the sum of its proper divisors (248187543588).

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

135237482172 is a wasteful number, since it uses less digits than its factorization.

135237482172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73501 (or 73480 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 135237482172 in words is "one hundred thirty-five billion, two hundred thirty-seven million, four hundred eighty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 101 108 117 156 169 202 234 303 338 351 404 468 507 606 676 702 909 1014 1212 1313 1404 1521 1818 2028 2626 2727 3042 3636 3939 4563 5252 5454 6084 7878 9126 10908 11817 15756 17069 18252 23634 34138 35451 47268 51207 68276 70902 73361 102414 141804 146722 153621 204828 220083 293444 307242 440166 460863 614484 660249 880332 921726 953693 1320498 1843452 1907386 1980747 2640996 2861079 3814772 3961494 5722158 7409461 7922988 8583237 11444316 12398009 14818922 17166474 22228383 24796018 25749711 29637844 34332948 37194027 44456766 49592036 51499422 66685149 74388054 88913532 96322993 102998844 111582081 133370298 148776108 192645986 200055447 223164162 266740596 288968979 334746243 385291972 400110894 446328324 577937958 669492486 800221788 866906937 1155875916 1252198909 1338984972 1733813874 2504397818 2600720811 3467627748 3756596727 5008795636 5201441622 7513193454 10402883244 11269790181 15026386908 22539580362 33809370543 45079160724 67618741086 135237482172