137288089 has 3 divisors (see below), whose sum is σ = 137299807. Its totient is φ = 137276372.

The previous prime is 137288083. The next prime is 137288101. The reversal of 137288089 is 980882731.

The square root of 137288089 is 11717.

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

137288089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 980882731 = 20981 ⋅46751.

It can be written as a sum of positive squares in only one way, i.e., 585225 + 136702864 = 765^2 + 11692^2 .

It is not a de Polignac number, because 137288089 - 2¹¹ = 137286041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137288083) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5859 + ... + 17575.

Almost surely, 2^137288089 is an apocalyptic number.

137288089 is the 11717-th square number.

137288089 is the 5859-th centered octagonal number.

It is an amenable number.

137288089 is a deficient number, since it is larger than the sum of its proper divisors (11718).

137288089 is an frugal number, since it uses more digits than its factorization.

137288089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23434 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The cubic root of 137288089 is about 515.8747680486.

The spelling of 137288089 in words is "one hundred thirty-seven million, two hundred eighty-eight thousand, eighty-nine".