133211052 has 144 divisors (see below), whose sum is σ = 388926720. Its totient is φ = 38102400.

The previous prime is 133211051. The next prime is 133211069. The reversal of 133211052 is 250112331.

133211052 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 (18).

It is not an unprimeable number, because it can be changed into a prime (133211051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631227 + ... + 631437.

It is an arithmetic number, because the mean of its divisors is an integer number (2700880).

Almost surely, 2^133211052 is an apocalyptic number.

133211052 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 133211052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194463360).

133211052 is an abundant number, since it is smaller than the sum of its proper divisors (255715668).

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

133211052 is a wasteful number, since it uses less digits than its factorization.

133211052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 133211052 is about 11541.7092321718. The cubic root of 133211052 is about 510.7167315961.

Adding to 133211052 its reverse (250112331), we get a palindrome (383323383).

The spelling of 133211052 in words is "one hundred thirty-three million, two hundred eleven thousand, fifty-two".