137546729 has 2 divisors, whose sum is σ = 137546730. Its totient is φ = 137546728.

The previous prime is 137546707. The next prime is 137546737. The reversal of 137546729 is 927645731.

137546729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95101504 + 42445225 = 9752^2 + 6515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137546729 is a prime.

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 137546729.

It is not a weakly prime, because it can be changed into another prime (137546329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68773364 + 68773365.

It is an arithmetic number, because the mean of its divisors is an integer number (68773365).

Almost surely, 2^137546729 is an apocalyptic number.

It is an amenable number.

137546729 is a deficient number, since it is larger than the sum of its proper divisors (1).

137546729 is an equidigital number, since it uses as much as digits as its factorization.

137546729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 317520, while the sum is 44.

The square root of 137546729 is about 11728.0317615532. The cubic root of 137546729 is about 516.1985207028.

The spelling of 137546729 in words is "one hundred thirty-seven million, five hundred forty-six thousand, seven hundred twenty-nine".