137473 has 8 divisors (see below), whose sum is σ = 161280. Its totient is φ = 114720.

The previous prime is 137453. The next prime is 137477. The reversal of 137473 is 374731.

It is a happy number.

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 137473 - 2¹³ = 129281 is a prime.

It is a d-powerful number, because it can be written as 1 + 3³ + 4³ + 7² + 7⁶ + 3⁹ .

It is not an unprimeable number, because it can be changed into a prime (137477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 526.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2¹³⁷⁴⁷³ is an apocalyptic number.

It is an amenable number.

137473 is a deficient number, since it is larger than the sum of its proper divisors (23807).

137473 is an equidigital number, since it uses as much as digits as its factorization.

137473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its digits is 1764, while the sum is 25.

The square root of 137473 is about 370.7735157748. The cubic root of 137473 is about 51.6106271804.

The spelling of 137473 in words is "one hundred thirty-seven thousand, four hundred seventy-three".