137040731 has 2 divisors, whose sum is σ = 137040732. Its totient is φ = 137040730.

The previous prime is 137040707. The next prime is 137040733.

137040731 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 137040731 - 2⁶ = 137040667 is a prime.

It is a super-2 number, since 2×137040731² = 37560323906028722, which contains 22 as substring.

Together with 137040733, 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 137040731.

It is not a weakly prime, because it can be changed into another prime (137040733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68520365 + 68520366.

It is an arithmetic number, because the mean of its divisors is an integer number (68520366).

Almost surely, 2^137040731 is an apocalyptic number.

137040731 is a deficient number, since it is larger than the sum of its proper divisors (1).

137040731 is an equidigital number, since it uses as much as digits as its factorization.

137040731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 137040731 is about 11706.4397235026. The cubic root of 137040731 is about 515.5647570193.

The spelling of 137040731 in words is "one hundred thirty-seven million, forty thousand, seven hundred thirty-one".