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137371197167 is a prime number
BaseRepresentation
bin111111111101111110…
…1100001111011101111
3111010120122010212012022
41333323331201323233
54222314011302132
6143035113300355
712632120624051
oct1777375417357
9433518125168
10137371197167
1153293506716
12227594046bb
13cc53075c69
14691244d8d1
153890051e12
hex1ffbf61eef

137371197167 has 2 divisors, whose sum is σ = 137371197168. Its totient is φ = 137371197166.

The previous prime is 137371197097. The next prime is 137371197239. The reversal of 137371197167 is 761791173731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137371197167 - 214 = 137371180783 is a prime.

It is a super-2 number, since 2×1373711971672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137371190167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68685598583 + 68685598584.

It is an arithmetic number, because the mean of its divisors is an integer number (68685598584).

Almost surely, 2137371197167 is an apocalyptic number.

137371197167 is a deficient number, since it is larger than the sum of its proper divisors (1).

137371197167 is an equidigital number, since it uses as much as digits as its factorization.

137371197167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1166886, while the sum is 53.

The spelling of 137371197167 in words is "one hundred thirty-seven billion, three hundred seventy-one million, one hundred ninety-seven thousand, one hundred sixty-seven".