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164137337 = 7136726921
BaseRepresentation
bin10011100100010…
…00100101111001
3102102212001002122
421302020211321
5314004343322
624142011025
74032100340
oct1162104571
9372761078
10164137337
11847188a1
1246b76a75
132800b9b0
1417b28b57
15e623442
hex9c88979

164137337 has 16 divisors (see below), whose sum is σ = 205037952. Its totient is φ = 127923840.

The previous prime is 164137327. The next prime is 164137339. The reversal of 164137337 is 733731461.

It is a cyclic number.

It is not a de Polignac number, because 164137337 - 28 = 164137081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164137297 and 164137306.

It is not an unprimeable number, because it can be changed into a prime (164137339) 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, 7364 + ... + 19557.

It is an arithmetic number, because the mean of its divisors is an integer number (12814872).

Almost surely, 2164137337 is an apocalyptic number.

It is an amenable number.

164137337 is a deficient number, since it is larger than the sum of its proper divisors (40900615).

164137337 is a wasteful number, since it uses less digits than its factorization.

164137337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27008.

The product of its digits is 31752, while the sum is 35.

The square root of 164137337 is about 12811.6094617343. The cubic root of 164137337 is about 547.5231179469.

Adding to 164137337 its reverse (733731461), we get a palindrome (897868798).

The spelling of 164137337 in words is "one hundred sixty-four million, one hundred thirty-seven thousand, three hundred thirty-seven".

Divisors: 1 7 13 67 91 469 871 6097 26921 188447 349973 1803707 2449811 12625949 23448191 164137337