Search a number
-
+
133156632 = 233729151181
BaseRepresentation
bin1111110111111…
…00111100011000
3100021120001120010
413323330330120
5233042003012
621114001520
73204545520
oct773747430
9307501503
10133156632
1169188604
12387162a0
132178250b
1413982680
15ba53c3c
hex7efcf18

133156632 has 128 divisors (see below), whose sum is σ = 398361600. Its totient is φ = 36288000.

The previous prime is 133156619. The next prime is 133156669. The reversal of 133156632 is 236651331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133156632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735582 + ... + 735762.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2133156632 is an apocalyptic number.

133156632 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 133156632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800).

133156632 is an abundant number, since it is smaller than the sum of its proper divisors (265204968).

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

133156632 is a wasteful number, since it uses less digits than its factorization.

133156632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 133156632 is about 11539.3514549129. The cubic root of 133156632 is about 510.6471753300.

The spelling of 133156632 in words is "one hundred thirty-three million, one hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 151 168 174 181 203 232 302 348 362 406 453 543 604 609 696 724 812 906 1057 1086 1208 1218 1267 1448 1624 1812 2114 2172 2436 2534 3171 3624 3801 4228 4344 4379 4872 5068 5249 6342 7602 8456 8758 10136 10498 12684 13137 15204 15747 17516 20996 25368 26274 27331 30408 30653 31494 35032 36743 41992 52548 54662 61306 62988 73486 81993 91959 105096 109324 110229 122612 125976 146972 163986 183918 191317 218648 220458 245224 293944 327972 367836 382634 440916 573951 655944 735672 765268 792599 881832 1147902 1530536 1585198 2295804 2377797 3170396 4591608 4755594 5548193 6340792 9511188 11096386 16644579 19022376 22192772 33289158 44385544 66578316 133156632