137025209 has 2 divisors, whose sum is σ = 137025210. Its totient is φ = 137025208.

The previous prime is 137025197. The next prime is 137025221. The reversal of 137025209 is 902520731.

137025209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (137025197) and next prime (137025221).

It can be written as a sum of positive squares in only one way, i.e., 112423609 + 24601600 = 10603^2 + 4960^2 .

It is a cyclic number.

It is not a de Polignac number, because 137025209 - 2¹² = 137021113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137025289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68512604 + 68512605.

It is an arithmetic number, because the mean of its divisors is an integer number (68512605).

Almost surely, 2^137025209 is an apocalyptic number.

It is an amenable number.

137025209 is a deficient number, since it is larger than the sum of its proper divisors (1).

137025209 is an equidigital number, since it uses as much as digits as its factorization.

137025209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 137025209 is about 11705.7767362956. The cubic root of 137025209 is about 515.5452910346.

The spelling of 137025209 in words is "one hundred thirty-seven million, twenty-five thousand, two hundred nine".