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133520166 = 232133131823
BaseRepresentation
bin1111111010101…
…01101100100110
3100022020112020100
413331111230212
5233140121131
621125444530
73210621423
oct775255446
9308215210
10133520166
116940674a
1238870746
132187bb20
1413a38d4a
15bac67e6
hex7f55b26

133520166 has 48 divisors (see below), whose sum is σ = 312713856. Its totient is φ = 40929408.

The previous prime is 133520137. The next prime is 133520183. The reversal of 133520166 is 661025331.

133520166 is a `hidden beast` number, since 133 + 520 + 1 + 6 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 72331 + ... + 74153.

It is an arithmetic number, because the mean of its divisors is an integer number (6514872).

Almost surely, 2133520166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133520166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156356928).

133520166 is an abundant number, since it is smaller than the sum of its proper divisors (179193690).

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

133520166 is a wasteful number, since it uses less digits than its factorization.

133520166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 133520166 is about 11555.0926435057. The cubic root of 133520166 is about 511.1114629522. Note that the first 3 decimals are identical.

Adding to 133520166 its reverse (661025331), we get a palindrome (794545497).

The spelling of 133520166 in words is "one hundred thirty-three million, five hundred twenty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 313 626 939 1823 1878 2817 3646 4069 5469 5634 8138 10938 12207 16407 23699 24414 32814 36621 47398 71097 73242 142194 213291 426582 570599 1141198 1711797 3423594 5135391 7417787 10270782 14835574 22253361 44506722 66760083 133520166