137193 has 16 divisors (see below), whose sum is σ = 215040. Its totient is φ = 76176.

The previous prime is 137191. The next prime is 137197. The reversal of 137193 is 391731.

137193 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 137193 - 2¹ = 137191 is a prime.

It is an Ulam number.

137193 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137193.

It is not an unprimeable number, because it can be changed into a prime (137191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2¹³⁷¹⁹³ is an apocalyptic number.

It is an amenable number.

137193 is a deficient number, since it is larger than the sum of its proper divisors (77847).

137193 is a wasteful number, since it uses less digits than its factorization.

137193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196.

The product of its digits is 567, while the sum is 24.

The square root of 137193 is about 370.3957343167. The cubic root of 137193 is about 51.5755638157.

The spelling of 137193 in words is "one hundred thirty-seven thousand, one hundred ninety-three".