137139601 has 2 divisors, whose sum is σ = 137139602. Its totient is φ = 137139600.

The previous prime is 137139571. The next prime is 137139617. The reversal of 137139601 is 106931731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128845201 + 8294400 = 11351^2 + 2880^2 .

It is a cyclic number.

It is not a de Polignac number, because 137139601 - 2¹³ = 137131409 is a prime.

It is not a weakly prime, because it can be changed into another prime (137139631) 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, 68569800 + 68569801.

It is an arithmetic number, because the mean of its divisors is an integer number (68569801).

Almost surely, 2^137139601 is an apocalyptic number.

It is an amenable number.

137139601 is a deficient number, since it is larger than the sum of its proper divisors (1).

137139601 is an equidigital number, since it uses as much as digits as its factorization.

137139601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 137139601 is about 11710.6618514924. The cubic root of 137139601 is about 515.6887144089.

The spelling of 137139601 in words is "one hundred thirty-seven million, one hundred thirty-nine thousand, six hundred one".