137606731 has 2 divisors, whose sum is σ = 137606732. Its totient is φ = 137606730.

The previous prime is 137606717. The next prime is 137606747.

It is a happy number.

137606731 is nontrivially palindromic in base 10.

137606731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 137606731 - 2⁵ = 137606699 is a prime.

It is a super-3 number, since 3×137606731³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (137601731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68803365 + 68803366.

It is an arithmetic number, because the mean of its divisors is an integer number (68803366).

Almost surely, 2^137606731 is an apocalyptic number.

137606731 is a deficient number, since it is larger than the sum of its proper divisors (1).

137606731 is an equidigital number, since it uses as much as digits as its factorization.

137606731 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 137606731 is about 11730.5895418773. The cubic root of 137606731 is about 516.2735702059.

The spelling of 137606731 in words is "one hundred thirty-seven million, six hundred six thousand, seven hundred thirty-one".