137730529 has 2 divisors, whose sum is σ = 137730530. Its totient is φ = 137730528.

The previous prime is 137730503. The next prime is 137730533. The reversal of 137730529 is 925037731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129436129 + 8294400 = 11377^2 + 2880^2 .

It is a cyclic number.

It is not a de Polignac number, because 137730529 - 2⁹ = 137730017 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137730559) 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, 68865264 + 68865265.

It is an arithmetic number, because the mean of its divisors is an integer number (68865265).

Almost surely, 2^137730529 is an apocalyptic number.

It is an amenable number.

137730529 is a deficient number, since it is larger than the sum of its proper divisors (1).

137730529 is an equidigital number, since it uses as much as digits as its factorization.

137730529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 137730529 is about 11735.8650725032. The cubic root of 137730529 is about 516.4283457703.

The spelling of 137730529 in words is "one hundred thirty-seven million, seven hundred thirty thousand, five hundred twenty-nine".