138113537 has 2 divisors, whose sum is σ = 138113538. Its totient is φ = 138113536.

The previous prime is 138113533. The next prime is 138113539. The reversal of 138113537 is 735311831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97140736 + 40972801 = 9856^2 + 6401^2 .

It is an emirp because it is prime and its reverse (735311831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138113537 - 2² = 138113533 is a prime.

Together with 138113539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (138113533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69056768 + 69056769.

It is an arithmetic number, because the mean of its divisors is an integer number (69056769).

Almost surely, 2^138113537 is an apocalyptic number.

It is an amenable number.

138113537 is a deficient number, since it is larger than the sum of its proper divisors (1).

138113537 is an equidigital number, since it uses as much as digits as its factorization.

138113537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 32.

The square root of 138113537 is about 11752.1715865622. The cubic root of 138113537 is about 516.9066060485.

The spelling of 138113537 in words is "one hundred thirty-eight million, one hundred thirteen thousand, five hundred thirty-seven".