133127 has 8 divisors (see below), whose sum is σ = 145152. Its totient is φ = 121600.

The previous prime is 133121. The next prime is 133153. The reversal of 133127 is 721331.

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 133127 - 2¹⁰ = 132103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133121) 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, 602 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2¹³³¹²⁷ is an apocalyptic number.

133127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

133127 is a deficient number, since it is larger than the sum of its proper divisors (12025).

133127 is a wasteful number, since it uses less digits than its factorization.

133127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its digits is 126, while the sum is 17.

The square root of 133127 is about 364.8657287277. The cubic root of 133127 is about 51.0609293578.

Adding to 133127 its reverse (721331), we get a palindrome (854458).

It can be divided in two parts, 1331 and 27, that multiplied together give a cube (35937 = 33³).

The spelling of 133127 in words is "one hundred thirty-three thousand, one hundred twenty-seven".