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137123167 is a prime number
BaseRepresentation
bin10000010110001…
…01010101011111
3100120000120121211
420023011111133
5240100420132
621335005251
73253345666
oct1013052537
9316016554
10137123167
1170447735
1239b09827
1322540a8c
14142d5ddd
15c089147
hex82c555f

137123167 has 2 divisors, whose sum is σ = 137123168. Its totient is φ = 137123166.

The previous prime is 137123149. The next prime is 137123183. The reversal of 137123167 is 761321731.

137123167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137123167 - 227 = 2905439 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137123267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68561583 + 68561584.

It is an arithmetic number, because the mean of its divisors is an integer number (68561584).

Almost surely, 2137123167 is an apocalyptic number.

137123167 is a deficient number, since it is larger than the sum of its proper divisors (1).

137123167 is an equidigital number, since it uses as much as digits as its factorization.

137123167 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5292, while the sum is 31.

The square root of 137123167 is about 11709.9601621867. The cubic root of 137123167 is about 515.6681145558.

Adding to 137123167 its reverse (761321731), we get a palindrome (898444898).

The spelling of 137123167 in words is "one hundred thirty-seven million, one hundred twenty-three thousand, one hundred sixty-seven".