137352529 has 2 divisors, whose sum is σ = 137352530. Its totient is φ = 137352528.

The previous prime is 137352499. The next prime is 137352533. The reversal of 137352529 is 925253731.

137352529 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., 123810129 + 13542400 = 11127^2 + 3680^2 .

It is an emirp because it is prime and its reverse (925253731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137352529 - 2¹⁷ = 137221457 is a prime.

It is not a weakly prime, because it can be changed into another prime (137352559) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68676264 + 68676265.

It is an arithmetic number, because the mean of its divisors is an integer number (68676265).

Almost surely, 2^137352529 is an apocalyptic number.

It is an amenable number.

137352529 is a deficient number, since it is larger than the sum of its proper divisors (1).

137352529 is an equidigital number, since it uses as much as digits as its factorization.

137352529 is an evil number, because the sum of its binary digits is even.

The product of its digits is 56700, while the sum is 37.

The square root of 137352529 is about 11719.7495280403. The cubic root of 137352529 is about 515.9554688350.

The spelling of 137352529 in words is "one hundred thirty-seven million, three hundred fifty-two thousand, five hundred twenty-nine".