137742667 has 2 divisors, whose sum is σ = 137742668. Its totient is φ = 137742666.

The previous prime is 137742643. The next prime is 137742679. The reversal of 137742667 is 766247731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137742667 - 2¹¹ = 137740619 is a prime.

It is not a weakly prime, because it can be changed into another prime (137742637) 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, 68871333 + 68871334.

It is an arithmetic number, because the mean of its divisors is an integer number (68871334).

Almost surely, 2^137742667 is an apocalyptic number.

137742667 is a deficient number, since it is larger than the sum of its proper divisors (1).

137742667 is an equidigital number, since it uses as much as digits as its factorization.

137742667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 296352, while the sum is 43.

The square root of 137742667 is about 11736.3821938449. The cubic root of 137742667 is about 516.4435160286.

It can be divided in two parts, 1377 and 42667, that added together give a palindrome (44044).

The spelling of 137742667 in words is "one hundred thirty-seven million, seven hundred forty-two thousand, six hundred sixty-seven".