133234272 has 72 divisors (see below), whose sum is σ = 385355880. Its totient is φ = 43653120.

The previous prime is 133234259. The next prime is 133234279. The reversal of 133234272 is 272432331.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133234279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13072 + ... + 20912.

It is an arithmetic number, because the mean of its divisors is an integer number (5352165).

Almost surely, 2^133234272 is an apocalyptic number.

133234272 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 133234272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192677940).

133234272 is an abundant number, since it is smaller than the sum of its proper divisors (252121608).

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

133234272 is a wasteful number, since it uses less digits than its factorization.

133234272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7916 (or 7905 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 133234272 is about 11542.7151052081. The cubic root of 133234272 is about 510.7464041929.

The spelling of 133234272 in words is "one hundred thirty-three million, two hundred thirty-four thousand, two hundred seventy-two".