133504100 has 36 divisors (see below), whose sum is σ = 291416244. Its totient is φ = 53086080.

The previous prime is 133504093. The next prime is 133504117. The reversal of 133504100 is 1405331.

It can be written as a sum of positive squares in 6 ways, for example, as 1162084 + 132342016 = 1078^2 + 11504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13442 + ... + 21158.

Almost surely, 2^133504100 is an apocalyptic number.

133504100 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 133504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145708122).

133504100 is an abundant number, since it is smaller than the sum of its proper divisors (157912144).

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

133504100 is a wasteful number, since it uses less digits than its factorization.

133504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 133504100 is about 11554.3974312813. The cubic root of 133504100 is about 511.0909620636.

Adding to 133504100 its reverse (1405331), we get a palindrome (134909431).

The spelling of 133504100 in words is "one hundred thirty-three million, five hundred four thousand, one hundred".