137040301 has 2 divisors, whose sum is σ = 137040302. Its totient is φ = 137040300.

The previous prime is 137040271. The next prime is 137040307. The reversal of 137040301 is 103040731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94595076 + 42445225 = 9726^2 + 6515^2 .

It is an emirp because it is prime and its reverse (103040731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137040301 - 2⁷ = 137040173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137040307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68520150 + 68520151.

It is an arithmetic number, because the mean of its divisors is an integer number (68520151).

Almost surely, 2^137040301 is an apocalyptic number.

It is an amenable number.

137040301 is a deficient number, since it is larger than the sum of its proper divisors (1).

137040301 is an equidigital number, since it uses as much as digits as its factorization.

137040301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 137040301 is about 11706.4213575285. The cubic root of 137040301 is about 515.5642177804.

The spelling of 137040301 in words is "one hundred thirty-seven million, forty thousand, three hundred one".