137133 has 10 divisors (see below), whose sum is σ = 204974. Its totient is φ = 91368.

The previous prime is 137131. The next prime is 137143. The reversal of 137133 is 331731.

It can be written as a sum of positive squares in only one way, i.e., 110889 + 26244 = 333^2 + 162^2 .

It is not a de Polignac number, because 137133 - 2¹ = 137131 is a prime.

It is a Duffinian number.

137133 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 766 + ... + 927.

2¹³⁷¹³³ is an apocalyptic number.

It is an amenable number.

137133 is a deficient number, since it is larger than the sum of its proper divisors (67841).

137133 is an equidigital number, since it uses as much as digits as its factorization.

137133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1696 counting only the distinct ones).

The product of its digits is 189, while the sum is 18.

The square root of 137133 is about 370.3147310059. The cubic root of 137133 is about 51.5680440320.

Adding to 137133 its reverse (331731), we get a palindrome (468864).

It can be divided in two parts, 13 and 7133, that multiplied together give a palindrome (92729).

The spelling of 137133 in words is "one hundred thirty-seven thousand, one hundred thirty-three".