133137 has 8 divisors (see below), whose sum is σ = 197280. Its totient is φ = 88740.

The previous prime is 133121. The next prime is 133153. The reversal of 133137 is 731331.

It is an interprime number because it is at equal distance from previous prime (133121) and next prime (133153).

It is not a de Polignac number, because 133137 - 2⁴ = 133121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133117) 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, 2439 + ... + 2492.

It is an arithmetic number, because the mean of its divisors is an integer number (24660).

2¹³³¹³⁷ is an apocalyptic number.

It is an amenable number.

133137 is a deficient number, since it is larger than the sum of its proper divisors (64143).

133137 is an equidigital number, since it uses as much as digits as its factorization.

133137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4934 counting only the distinct ones).

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

The square root of 133137 is about 364.8794321416. The cubic root of 133137 is about 51.0622078275.

Adding to 133137 its reverse (731331), we get a palindrome (864468).

The spelling of 133137 in words is "one hundred thirty-three thousand, one hundred thirty-seven".