133144 has 32 divisors (see below), whose sum is σ = 291600. Its totient is φ = 56320.

The previous prime is 133121. The next prime is 133153. The reversal of 133144 is 441331.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1452 + ... + 1540.

2¹³³¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145800).

133144 is an abundant number, since it is smaller than the sum of its proper divisors (158456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133144 is a wasteful number, since it uses less digits than its factorization.

133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 133144 is about 364.8890242252. The cubic root of 133144 is about 51.0631027182.

Adding to 133144 its reverse (441331), we get a palindrome (574475).

It can be divided in two parts, 1331 and 44, that multiplied together give a square (58564 = 242²).

The spelling of 133144 in words is "one hundred thirty-three thousand, one hundred forty-four".