133530100 has 72 divisors (see below), whose sum is σ = 332791200. Its totient is φ = 45993600.

The previous prime is 133530091. The next prime is 133530107. The reversal of 133530100 is 1035331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133530107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17706 + ... + 24094.

It is an arithmetic number, because the mean of its divisors is an integer number (4622100).

Almost surely, 2^133530100 is an apocalyptic number.

133530100 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 133530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166395600).

133530100 is an abundant number, since it is smaller than the sum of its proper divisors (199261100).

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

133530100 is a wasteful number, since it uses less digits than its factorization.

133530100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6433 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 133530100 is about 11555.5224892689. The cubic root of 133530100 is about 511.1241383293.

Adding to 133530100 its reverse (1035331), we get a palindrome (134565431).

The spelling of 133530100 in words is "one hundred thirty-three million, five hundred thirty thousand, one hundred".