133292448 has 72 divisors (see below), whose sum is σ = 399016800. Its totient is φ = 42090624.

The previous prime is 133292441. The next prime is 133292483. The reversal of 133292448 is 844292331.

133292448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133292441) 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, 6708 + ... + 17651.

It is an arithmetic number, because the mean of its divisors is an integer number (5541900).

Almost surely, 2^133292448 is an apocalyptic number.

133292448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133292448 is an abundant number, since it is smaller than the sum of its proper divisors (265724352).

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

133292448 is a wasteful number, since it uses less digits than its factorization.

133292448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24394 (or 24383 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 133292448 is about 11545.2348611884. The cubic root of 133292448 is about 510.8207315631.

The spelling of 133292448 in words is "one hundred thirty-three million, two hundred ninety-two thousand, four hundred forty-eight".