Search a number
-
+
132123151524 = 223713279117811
BaseRepresentation
bin111101100001100100…
…1110100110010100100
3110122000220000111222110
41323003021310302210
54131042011322044
6140410241401020
712355064154330
oct1730311646244
9418026014873
10132123151524
1151040090311
1221733939170
13c5c7a0a400
1465754607c0
1536844506b9
hex1ec3274ca4

132123151524 has 144 divisors (see below), whose sum is σ = 386347960320. Its totient is φ = 34404289920.

The previous prime is 132123151493. The next prime is 132123151529. The reversal of 132123151524 is 425151321231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132123151491 and 132123151500.

It is not an unprimeable number, because it can be changed into a prime (132123151529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062579 + ... + 1180389.

Almost surely, 2132123151524 is an apocalyptic number.

132123151524 is a gapful number since it is divisible by the number (14) 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 132123151524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193173980160).

132123151524 is an abundant number, since it is smaller than the sum of its proper divisors (254224808796).

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

132123151524 is a wasteful number, since it uses less digits than its factorization.

132123151524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117930 (or 117915 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

Adding to 132123151524 its reverse (425151321231), we get a palindrome (557274472755).

The spelling of 132123151524 in words is "one hundred thirty-two billion, one hundred twenty-three million, one hundred fifty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 79 84 91 156 158 169 182 237 273 316 338 364 474 507 546 553 676 948 1014 1027 1092 1106 1183 1659 2028 2054 2212 2366 3081 3318 3549 4108 4732 6162 6636 7098 7189 12324 13351 14196 14378 21567 26702 28756 40053 43134 53404 80106 86268 93457 117811 160212 186914 235622 280371 353433 373828 471244 560742 706866 824677 1121484 1413732 1531543 1649354 2474031 3063086 3298708 4594629 4948062 6126172 9189258 9307069 9896124 10720801 18378516 18614138 19910059 21441602 27921207 32162403 37228276 39820118 42883204 55842414 59730177 64324806 65149483 79640236 111684828 119460354 120991897 128649612 130298966 139370413 195448449 238920708 241983794 260597932 278740826 362975691 390896898 418111239 483967588 557481652 725951382 781793796 836222478 846943279 1451902764 1572894661 1672444956 1693886558 2540829837 3145789322 3387773116 4718683983 5081659674 6291578644 9437367966 10163319348 11010262627 18874735932 22020525254 33030787881 44041050508 66061575762 132123151524