137742361 has 2 divisors, whose sum is σ = 137742362. Its totient is φ = 137742360.

The previous prime is 137742349. The next prime is 137742421. The reversal of 137742361 is 163247731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124456336 + 13286025 = 11156^2 + 3645^2 .

It is a cyclic number.

It is not a de Polignac number, because 137742361 - 2⁷ = 137742233 is a prime.

It is not a weakly prime, because it can be changed into another prime (137742301) 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, 68871180 + 68871181.

It is an arithmetic number, because the mean of its divisors is an integer number (68871181).

Almost surely, 2^137742361 is an apocalyptic number.

It is an amenable number.

137742361 is a deficient number, since it is larger than the sum of its proper divisors (1).

137742361 is an equidigital number, since it uses as much as digits as its factorization.

137742361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 34.

The square root of 137742361 is about 11736.3691574524. The cubic root of 137742361 is about 516.4431335961.

The spelling of 137742361 in words is "one hundred thirty-seven million, seven hundred forty-two thousand, three hundred sixty-one".