137306 has 8 divisors (see below), whose sum is σ = 221844. Its totient is φ = 63360.

The previous prime is 137303. The next prime is 137321. The reversal of 137306 is 603731.

It can be written as a sum of positive squares in 2 ways, for example, as 116281 + 21025 = 341^2 + 145^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2615 + ... + 2666.

2¹³⁷³⁰⁶ is an apocalyptic number.

137306 is a deficient number, since it is larger than the sum of its proper divisors (84538).

137306 is a wasteful number, since it uses less digits than its factorization.

137306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 137306 is about 370.5482424732. The cubic root of 137306 is about 51.5897201243.

The spelling of 137306 in words is "one hundred thirty-seven thousand, three hundred six".