137180889 has 12 divisors (see below), whose sum is σ = 198589716. Its totient is φ = 91251072.

The previous prime is 137180851. The next prime is 137180891. The reversal of 137180889 is 988081731.

137180889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64641600 + 72539289 = 8040^2 + 8517^2 .

It is not a de Polignac number, because 137180889 - 2¹⁷ = 137049817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137180839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12564 + ... + 20789.

It is an arithmetic number, because the mean of its divisors is an integer number (16549143).

Almost surely, 2^137180889 is an apocalyptic number.

It is an amenable number.

137180889 is a deficient number, since it is larger than the sum of its proper divisors (61408827).

137180889 is a wasteful number, since it uses less digits than its factorization.

137180889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33816 (or 33813 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 137180889 is about 11712.4245568541. The cubic root of 137180889 is about 515.7404612399.

The spelling of 137180889 in words is "one hundred thirty-seven million, one hundred eighty thousand, eight hundred eighty-nine".