133527252 has 72 divisors (see below), whose sum is σ = 328360032. Its totient is φ = 42224000.

The previous prime is 133527221. The next prime is 133527257. The reversal of 133527252 is 252725331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133527257) 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, 1019227 + ... + 1019357.

It is an arithmetic number, because the mean of its divisors is an integer number (4560556).

Almost surely, 2^133527252 is an apocalyptic number.

133527252 is a gapful number since it is divisible by the number (12) 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 133527252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164180016).

133527252 is an abundant number, since it is smaller than the sum of its proper divisors (194832780).

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

133527252 is a wasteful number, since it uses less digits than its factorization.

133527252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 266 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 133527252 is about 11555.3992574900. The cubic root of 133527252 is about 511.1205044622.

The spelling of 133527252 in words is "one hundred thirty-three million, five hundred twenty-seven thousand, two hundred fifty-two".