133241472 has 384 divisors, whose sum is σ = 499000320. Its totient is φ = 33177600.

The previous prime is 133241467. The next prime is 133241501. The reversal of 133241472 is 274142331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (4032) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3249772 + ... + 3249812.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2^133241472 is an apocalyptic number.

133241472 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 133241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

133241472 is an abundant number, since it is smaller than the sum of its proper divisors (365758848).

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

133241472 is a wasteful number, since it uses less digits than its factorization.

133241472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 133241472 is about 11543.0269860206. The cubic root of 133241472 is about 510.7556042979.

The spelling of 133241472 in words is "one hundred thirty-three million, two hundred forty-one thousand, four hundred seventy-two".