137123731 has 2 divisors, whose sum is σ = 137123732. Its totient is φ = 137123730.

The previous prime is 137123681. The next prime is 137123747. The reversal of 137123731 is 137321731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137123731 - 2¹¹ = 137121683 is a prime.

It is a super-2 number, since 2×137123731² = 37605835206720722, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137123731.

It is not a weakly prime, because it can be changed into another prime (137123771) 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, 68561865 + 68561866.

It is an arithmetic number, because the mean of its divisors is an integer number (68561866).

Almost surely, 2^137123731 is an apocalyptic number.

137123731 is a deficient number, since it is larger than the sum of its proper divisors (1).

137123731 is an equidigital number, since it uses as much as digits as its factorization.

137123731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2646, while the sum is 28.

The square root of 137123731 is about 11709.9842442251. The cubic root of 137123731 is about 515.6688215514.

The spelling of 137123731 in words is "one hundred thirty-seven million, one hundred twenty-three thousand, seven hundred thirty-one".