137701937 has 2 divisors, whose sum is σ = 137701938. Its totient is φ = 137701936.

The previous prime is 137701919. The next prime is 137701939. The reversal of 137701937 is 739107731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137569441 + 132496 = 11729^2 + 364^2 .

It is an emirp because it is prime and its reverse (739107731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137701937 - 2¹⁴ = 137685553 is a prime.

Together with 137701939, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137701937.

It is not a weakly prime, because it can be changed into another prime (137701939) 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, 68850968 + 68850969.

It is an arithmetic number, because the mean of its divisors is an integer number (68850969).

Almost surely, 2^137701937 is an apocalyptic number.

It is an amenable number.

137701937 is a deficient number, since it is larger than the sum of its proper divisors (1).

137701937 is an equidigital number, since it uses as much as digits as its factorization.

137701937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27783, while the sum is 38.

The square root of 137701937 is about 11734.6468630292. The cubic root of 137701937 is about 516.3926075277.

The spelling of 137701937 in words is "one hundred thirty-seven million, seven hundred one thousand, nine hundred thirty-seven".