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133543564 = 227112811543
BaseRepresentation
bin1111111010110…
…11011010001100
3100022021201022221
413331123122030
5233141343224
621130145124
73211046560
oct775333214
9308251287
10133543564
1169422290
12388821a4
132188967b
1413a436a0
15bacd6e4
hex7f5b68c

133543564 has 48 divisors (see below), whose sum is σ = 292594176. Its totient is φ = 51811200.

The previous prime is 133543561. The next prime is 133543573. The reversal of 133543564 is 465345331.

It is not an unprimeable number, because it can be changed into a prime (133543561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85777 + ... + 87319.

It is an arithmetic number, because the mean of its divisors is an integer number (6095712).

Almost surely, 2133543564 is an apocalyptic number.

133543564 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 133543564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146297088).

133543564 is an abundant number, since it is smaller than the sum of its proper divisors (159050612).

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

133543564 is a wasteful number, since it uses less digits than its factorization.

133543564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1844 counting only the distinct ones).

The product of its digits is 64800, while the sum is 34.

The square root of 133543564 is about 11556.1050531743. The cubic root of 133543564 is about 511.1413168384.

Adding to 133543564 its reverse (465345331), we get a palindrome (598888895).

The spelling of 133543564 in words is "one hundred thirty-three million, five hundred forty-three thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 281 308 562 1124 1543 1967 3086 3091 3934 6172 6182 7868 10801 12364 16973 21602 21637 33946 43204 43274 67892 86548 118811 237622 433583 475244 867166 1734332 3035081 4769413 6070162 9538826 12140324 19077652 33385891 66771782 133543564