133404100 has 72 divisors (see below), whose sum is σ = 310058280. Its totient is φ = 49643520.

The previous prime is 133404097. The next prime is 133404113. The reversal of 133404100 is 1404331.

It can be written as a sum of positive squares in 12 ways, for example, as 5080516 + 128323584 = 2254^2 + 11328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164496 + ... + 165304.

It is an arithmetic number, because the mean of its divisors is an integer number (4306365).

Almost surely, 2^133404100 is an apocalyptic number.

133404100 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 133404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155029140).

133404100 is an abundant number, since it is smaller than the sum of its proper divisors (176654180).

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

133404100 is a wasteful number, since it uses less digits than its factorization.

133404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 930 counting only the distinct ones).

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

The square root of 133404100 is about 11550.0692638616. The cubic root of 133404100 is about 510.9633208840.

Adding to 133404100 its reverse (1404331), we get a palindrome (134808431).

The spelling of 133404100 in words is "one hundred thirty-three million, four hundred four thousand, one hundred".