133542200 has 96 divisors (see below), whose sum is σ = 342634320. Its totient is φ = 48000000.

The previous prime is 133542161. The next prime is 133542217. The reversal of 133542200 is 2245331.

It is a happy number.

133542200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 221900 + ... + 222500.

Almost surely, 2^133542200 is an apocalyptic number.

133542200 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 133542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171317160).

133542200 is an abundant number, since it is smaller than the sum of its proper divisors (209092120).

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

133542200 is a wasteful number, since it uses less digits than its factorization.

133542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 133542200 is about 11556.0460365992. The cubic root of 133542200 is about 511.1395765845.

Adding to 133542200 its reverse (2245331), we get a palindrome (135787531).

The spelling of 133542200 in words is "one hundred thirty-three million, five hundred forty-two thousand, two hundred".