137538727 has 2 divisors, whose sum is σ = 137538728. Its totient is φ = 137538726.

The previous prime is 137538697. The next prime is 137538769. The reversal of 137538727 is 727835731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137538727 - 2¹⁹ = 137014439 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137538787) 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, 68769363 + 68769364.

It is an arithmetic number, because the mean of its divisors is an integer number (68769364).

Almost surely, 2^137538727 is an apocalyptic number.

137538727 is a deficient number, since it is larger than the sum of its proper divisors (1).

137538727 is an equidigital number, since it uses as much as digits as its factorization.

137538727 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 246960, while the sum is 43.

The square root of 137538727 is about 11727.6906081291. The cubic root of 137538727 is about 516.1885102851.

The spelling of 137538727 in words is "one hundred thirty-seven million, five hundred thirty-eight thousand, seven hundred twenty-seven".