133520100 has 216 divisors, whose sum is σ = 465470208. Its totient is φ = 29433600.

The previous prime is 133520039. The next prime is 133520137. The reversal of 133520100 is 1025331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133520100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455554 + ... + 455846.

Almost surely, 2^133520100 is an apocalyptic number.

133520100 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 133520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232735104).

133520100 is an abundant number, since it is smaller than the sum of its proper divisors (331950108).

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

133520100 is a wasteful number, since it uses less digits than its factorization.

133520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 133520100 is about 11555.0897876217. The cubic root of 133520100 is about 511.1113787368. Note that the first 3 decimals are identical.

Adding to 133520100 its reverse (1025331), we get a palindrome (134545431).

The spelling of 133520100 in words is "one hundred thirty-three million, five hundred twenty thousand, one hundred".