137673 has 8 divisors (see below), whose sum is σ = 204000. Its totient is φ = 91764.

The previous prime is 137659. The next prime is 137699. The reversal of 137673 is 376731.

It is not a de Polignac number, because 137673 - 2¹⁰ = 136649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5099 = 137673 / (1 + 3 + 7 + 6 + 7 + 3).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2523 + ... + 2576.

It is an arithmetic number, because the mean of its divisors is an integer number (25500).

2¹³⁷⁶⁷³ is an apocalyptic number.

It is an amenable number.

137673 is a deficient number, since it is larger than the sum of its proper divisors (66327).

137673 is an equidigital number, since it uses as much as digits as its factorization.

137673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5102 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 137673 is about 371.0431241783. The cubic root of 137673 is about 51.6356433019.

The spelling of 137673 in words is "one hundred thirty-seven thousand, six hundred seventy-three".