137337077 has 2 divisors, whose sum is σ = 137337078. Its totient is φ = 137337076.

The previous prime is 137337059. The next prime is 137337103. The reversal of 137337077 is 770733731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137334961 + 2116 = 11719^2 + 46^2 .

It is a cyclic number.

It is not a de Polignac number, because 137337077 - 2¹⁸ = 137074933 is a prime.

It is a super-2 number, since 2×137337077² = 37722945437807858, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137337077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137337677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68668538 + 68668539.

It is an arithmetic number, because the mean of its divisors is an integer number (68668539).

Almost surely, 2^137337077 is an apocalyptic number.

It is an amenable number.

137337077 is a deficient number, since it is larger than the sum of its proper divisors (1).

137337077 is an equidigital number, since it uses as much as digits as its factorization.

137337077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64827, while the sum is 38.

The square root of 137337077 is about 11719.0902803929. The cubic root of 137337077 is about 515.9361199790.

The spelling of 137337077 in words is "one hundred thirty-seven million, three hundred thirty-seven thousand, seventy-seven".