137088765025 has 9 divisors (see below), whose sum is σ = 169992364243. Its totient is φ = 109669531000.

The previous prime is 137088765013. The next prime is 137088765029. The reversal of 137088765025 is 520567880731.

It is a happy number.

The square root of 137088765025 is 370255.

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

It can be written as a sum of positive squares in only one way, i.e., 49351955409 + 87736809616 = 222153^2 + 296204^2 .

It is a de Polignac number, because none of the positive numbers 2^k-137088765025 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137088765029) 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, 1814250 + ... + 1888300.

Almost surely, 2^137088765025 is an apocalyptic number.

137088765025 is the 370255-th square number.

137088765025 is the 185128-th centered octagonal number.

It is an amenable number.

137088765025 is a deficient number, since it is larger than the sum of its proper divisors (32903599218).

137088765025 is an frugal number, since it uses more digits than its factorization.

137088765025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148112 (or 74056 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 137088765025 in words is "one hundred thirty-seven billion, eighty-eight million, seven hundred sixty-five thousand, twenty-five".