137384289 has 24 divisors (see below), whose sum is σ = 236764320. Its totient is φ = 78504552.

The previous prime is 137384257. The next prime is 137384311. The reversal of 137384289 is 982483731.

It is not a de Polignac number, because 137384289 - 2⁵ = 137384257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137384189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50599 + ... + 53244.

It is an arithmetic number, because the mean of its divisors is an integer number (9865180).

Almost surely, 2^137384289 is an apocalyptic number.

It is an amenable number.

137384289 is a deficient number, since it is larger than the sum of its proper divisors (99380031).

137384289 is a wasteful number, since it uses less digits than its factorization.

137384289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103866 (or 103853 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 137384289 is about 11721.1044274846. The cubic root of 137384289 is about 515.9952338662.

The spelling of 137384289 in words is "one hundred thirty-seven million, three hundred eighty-four thousand, two hundred eighty-nine".