137971123 has 2 divisors, whose sum is σ = 137971124. Its totient is φ = 137971122.

The previous prime is 137971121. The next prime is 137971147. The reversal of 137971123 is 321179731.

It is a weak prime.

It is an emirp because it is prime and its reverse (321179731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137971123 - 2¹ = 137971121 is a prime.

It is a super-3 number, since 3×137971123³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 137971121, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137971121) 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 as a sum of consecutive naturals, namely, 68985561 + 68985562.

It is an arithmetic number, because the mean of its divisors is an integer number (68985562).

Almost surely, 2^137971123 is an apocalyptic number.

137971123 is a deficient number, since it is larger than the sum of its proper divisors (1).

137971123 is an equidigital number, since it uses as much as digits as its factorization.

137971123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7938, while the sum is 34.

The square root of 137971123 is about 11746.1109734244. The cubic root of 137971123 is about 516.7288777442.

The spelling of 137971123 in words is "one hundred thirty-seven million, nine hundred seventy-one thousand, one hundred twenty-three".