137805321 has 8 divisors (see below), whose sum is σ = 185426560. Its totient is φ = 91027152.

The previous prime is 137805313. The next prime is 137805331. The reversal of 137805321 is 123508731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137805321 - 2³ = 137805313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137805331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210385 + ... + 211038.

It is an arithmetic number, because the mean of its divisors is an integer number (23178320).

Almost surely, 2^137805321 is an apocalyptic number.

It is an amenable number.

137805321 is a deficient number, since it is larger than the sum of its proper divisors (47621239).

137805321 is a wasteful number, since it uses less digits than its factorization.

137805321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421535.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 137805321 is about 11739.0511115677. The cubic root of 137805321 is about 516.5218077881.

The spelling of 137805321 in words is "one hundred thirty-seven million, eight hundred five thousand, three hundred twenty-one".