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133545084 = 22323592139
BaseRepresentation
bin1111111010110…
…11110001111100
3100022021210102020
413331123301330
5233141420314
621130200140
73211054161
oct775336174
9308253366
10133545084
1169423442
1238883050
132188a27a
1413a44068
15bacdda9
hex7f5bc7c

133545084 has 72 divisors (see below), whose sum is σ = 333137280. Its totient is φ = 41556768.

The previous prime is 133545067. The next prime is 133545103. The reversal of 133545084 is 480545331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960687 + ... + 960825.

Almost surely, 2133545084 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 133545084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166568640).

133545084 is an abundant number, since it is smaller than the sum of its proper divisors (199592196).

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

133545084 is a wasteful number, since it uses less digits than its factorization.

133545084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 133545084 is about 11556.1708190906. The cubic root of 133545084 is about 511.1432561103.

The spelling of 133545084 in words is "one hundred thirty-three million, five hundred forty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 139 177 236 276 278 354 417 556 708 834 1357 1668 2714 3197 3481 4071 5428 6394 6962 8142 8201 9591 10443 12788 13924 16284 16402 19182 20886 24603 32804 38364 41772 49206 80063 98412 160126 188623 240189 320252 377246 480378 483859 565869 754492 960756 967718 1131738 1451577 1935436 2263476 2903154 5806308 11128757 22257514 33386271 44515028 66772542 133545084