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166135137 = 373161453
BaseRepresentation
bin10011110011100…
…00010101100001
3102120121112120020
421321300111201
5320012311022
624252504053
74055061000
oct1171602541
9376545506
10166135137
1185862873
124777b029
132855b11c
14180c8c37
15e8ba35c
hex9e70561

166135137 has 16 divisors (see below), whose sum is σ = 258326400. Its totient is φ = 94933776.

The previous prime is 166135129. The next prime is 166135139. The reversal of 166135137 is 731531661.

It is a happy number.

It is not a de Polignac number, because 166135137 - 23 = 166135129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166135098 and 166135107.

It is not an unprimeable number, because it can be changed into a prime (166135139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79698 + ... + 81755.

It is an arithmetic number, because the mean of its divisors is an integer number (16145400).

Almost surely, 2166135137 is an apocalyptic number.

It is an amenable number.

166135137 is a deficient number, since it is larger than the sum of its proper divisors (92191263).

166135137 is an equidigital number, since it uses as much as digits as its factorization.

166135137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161477 (or 161463 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 166135137 is about 12889.3419925146. The cubic root of 166135137 is about 549.7355610329.

Adding to 166135137 its reverse (731531661), we get a palindrome (897666798).

The spelling of 166135137 in words is "one hundred sixty-six million, one hundred thirty-five thousand, one hundred thirty-seven".

Divisors: 1 3 7 21 49 147 343 1029 161453 484359 1130171 3390513 7911197 23733591 55378379 166135137