Search a number
-
+
132145665740 = 2251121312331789
BaseRepresentation
bin111101100010001111…
…1101101011011001100
3110122002110101100200022
41323010133231123030
54131113242300430
6140412404121312
712355456424414
oct1730437553314
9418073340608
10132145665740
1151051868600
122173b396238
13c5cc59102a
146578441644
1536863eb4e5
hex1ec47ed6cc

132145665740 has 144 divisors (see below), whose sum is σ = 308847258720. Its totient is φ = 47454950400.

The previous prime is 132145665733. The next prime is 132145665781. The reversal of 132145665740 is 47566541231.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 132145665691 and 132145665700.

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, 73864766 + ... + 73866554.

It is an arithmetic number, because the mean of its divisors is an integer number (2144772630).

Almost surely, 2132145665740 is an apocalyptic number.

132145665740 is a gapful number since it is divisible by the number (10) 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 132145665740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154423629360).

132145665740 is an abundant number, since it is smaller than the sum of its proper divisors (176701592980).

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

132145665740 is a wasteful number, since it uses less digits than its factorization.

132145665740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 132145665740 in words is "one hundred thirty-two billion, one hundred forty-five million, six hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 131 220 233 242 262 466 484 524 605 655 932 1165 1210 1310 1441 1789 2330 2420 2563 2620 2882 3578 4660 5126 5764 7156 7205 8945 10252 12815 14410 15851 17890 19679 25630 28193 28820 30523 31702 35780 39358 51260 56386 61046 63404 78716 79255 98395 112772 122092 140965 152615 158510 196790 216469 234359 281930 305230 317020 335753 393580 416837 432938 468718 563860 610460 671506 833674 865876 937436 1082345 1171795 1343012 1667348 1678765 2084185 2164690 2343590 2577949 3357530 3693283 4168370 4329380 4585207 4687180 5155898 6715060 7386566 8336740 9170414 10311796 12889745 14773132 18340828 18466415 22926035 25779490 28357439 36932830 45852070 50437277 51558980 54605647 56714878 73865660 91704140 100874554 109211294 113429756 141787195 201749108 218422588 252186385 273028235 283574390 504372770 546056470 567148780 600662117 1008745540 1092112940 1201324234 2402648468 3003310585 6006621170 6607283287 12013242340 13214566574 26429133148 33036416435 66072832870 132145665740