133542120 has 64 divisors (see below), whose sum is σ = 403600320. Its totient is φ = 35346944.

The previous prime is 133542109. The next prime is 133542121. The reversal of 133542120 is 21245331.

It is not an unprimeable number, because it can be changed into a prime (133542121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12379 + ... + 20501.

It is an arithmetic number, because the mean of its divisors is an integer number (6306255).

Almost surely, 2^133542120 is an apocalyptic number.

133542120 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 133542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201800160).

133542120 is an abundant number, since it is smaller than the sum of its proper divisors (270058200).

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

133542120 is a wasteful number, since it uses less digits than its factorization.

133542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 133542120 is about 11556.0425752071. The cubic root of 133542120 is about 511.1394745164.

Adding to 133542120 its reverse (21245331), we get a palindrome (154787451).

The spelling of 133542120 in words is "one hundred thirty-three million, five hundred forty-two thousand, one hundred twenty".