133141104 has 80 divisors (see below), whose sum is σ = 391537440. Its totient is φ = 43292160.

The previous prime is 133141103. The next prime is 133141139. The reversal of 133141104 is 401141331.

133141104 = 1782² + 1783² + ... + 1822².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133141103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13954 + ... + 21470.

It is an arithmetic number, because the mean of its divisors is an integer number (4894218).

Almost surely, 2^133141104 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 133141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195768720).

133141104 is an abundant number, since it is smaller than the sum of its proper divisors (258396336).

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

133141104 is a wasteful number, since it uses less digits than its factorization.

133141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7575 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 133141104 is about 11538.6786071890. The cubic root of 133141104 is about 510.6273249291.

Adding to 133141104 its reverse (401141331), we get a palindrome (534282435).

The spelling of 133141104 in words is "one hundred thirty-three million, one hundred forty-one thousand, one hundred four".