Search a number
-
+
133566108 = 22313267983
BaseRepresentation
bin1111111011000…
…00111010011100
3100022022212020220
413331200322130
5233143103413
621130441340
73211202364
oct775407234
9308285226
10133566108
1169438215
1238893250
1321896a00
1413a4b9a4
15bad5223
hex7f60e9c

133566108 has 72 divisors (see below), whose sum is σ = 342857088. Its totient is φ = 40442688.

The previous prime is 133566091. The next prime is 133566131. The reversal of 133566108 is 801665331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135385 + ... + 136367.

It is an arithmetic number, because the mean of its divisors is an integer number (4761904).

Almost surely, 2133566108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133566108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171428544).

133566108 is an abundant number, since it is smaller than the sum of its proper divisors (209290980).

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

133566108 is a wasteful number, since it uses less digits than its factorization.

133566108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 133566108 is about 11557.0804271667. The cubic root of 133566108 is about 511.1700777938.

The spelling of 133566108 in words is "one hundred thirty-three million, five hundred sixty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 169 201 268 338 402 507 676 804 871 983 1014 1742 1966 2028 2613 2949 3484 3932 5226 5898 10452 11323 11796 12779 22646 25558 33969 38337 45292 51116 65861 67938 76674 131722 135876 153348 166127 197583 263444 332254 395166 498381 664508 790332 856193 996762 1712386 1993524 2568579 3424772 5137158 10274316 11130509 22261018 33391527 44522036 66783054 133566108