133140 has 48 divisors (see below), whose sum is σ = 427392. Its totient is φ = 30336.

The previous prime is 133121. The next prime is 133153. The reversal of 133140 is 41331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133140.

It is an unprimeable number.

133140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (8904).

2¹³³¹⁴⁰ is an apocalyptic number.

133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213696).

133140 is an abundant number, since it is smaller than the sum of its proper divisors (294252).

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

133140 is a wasteful number, since it uses less digits than its factorization.

133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133140 is about 364.8835430655. The cubic root of 133140 is about 51.0625913559.

Adding to 133140 its reverse (41331), we get a palindrome (174471).

Subtracting from 133140 its reverse (41331), we obtain a square (91809 = 303²).

The spelling of 133140 in words is "one hundred thirty-three thousand, one hundred forty".