137384305 has 8 divisors (see below), whose sum is σ = 165132072. Its totient is φ = 109726848.

The previous prime is 137384257. The next prime is 137384311. The reversal of 137384305 is 503483731.

It can be written as a sum of positive squares in 4 ways, for example, as 400689 + 136983616 = 633^2 + 11704^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 137384305 - 2¹¹ = 137382257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19182 + ... + 25351.

It is an arithmetic number, because the mean of its divisors is an integer number (20641509).

Almost surely, 2^137384305 is an apocalyptic number.

It is an amenable number.

137384305 is a deficient number, since it is larger than the sum of its proper divisors (27747767).

137384305 is an equidigital number, since it uses as much as digits as its factorization.

137384305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45155.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 137384305 is about 11721.1051100142. The cubic root of 137384305 is about 515.9952538974.

The spelling of 137384305 in words is "one hundred thirty-seven million, three hundred eighty-four thousand, three hundred five".