137306305 has 8 divisors (see below), whose sum is σ = 167876712. Its totient is φ = 107772288.

The previous prime is 137306237. The next prime is 137306311. The reversal of 137306305 is 503603731.

It can be written as a sum of positive squares in 4 ways, for example, as 11888704 + 125417601 = 3448^2 + 11199^2 .

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 137306305 - 2¹³ = 137298113 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, 258804 + ... + 259333.

It is an arithmetic number, because the mean of its divisors is an integer number (20984589).

Almost surely, 2^137306305 is an apocalyptic number.

It is an amenable number.

137306305 is a deficient number, since it is larger than the sum of its proper divisors (30570407).

137306305 is an equidigital number, since it uses as much as digits as its factorization.

137306305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518195.

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 137306305 is about 11717.7773062983. Note that the first 3 decimals coincide. The cubic root of 137306305 is about 515.8975832329.

The spelling of 137306305 in words is "one hundred thirty-seven million, three hundred six thousand, three hundred five".