137235425209 has 9 divisors (see below), whose sum is σ = 139545045549. Its totient is φ = 134963436960.

The previous prime is 137235425167. The next prime is 137235425219. The reversal of 137235425209 is 902524532731.

The square root of 137235425209 is 370453.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2232090025 + 135003335184 = 47245^2 + 367428^2 .

It is not a de Polignac number, because 137235425209 - 2¹³ = 137235417017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137235425219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22594597 + ... + 22600669.

It is an arithmetic number, because the mean of its divisors is an integer number (15505005061).

Almost surely, 2^137235425209 is an apocalyptic number.

137235425209 is the 370453-rd square number.

137235425209 is the 185227-th centered octagonal number.

It is an amenable number.

137235425209 is a deficient number, since it is larger than the sum of its proper divisors (2309620340).

137235425209 is an frugal number, since it uses more digits than its factorization.

137235425209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 137235425209 in words is "one hundred thirty-seven billion, two hundred thirty-five million, four hundred twenty-five thousand, two hundred nine".