133294080 has 96 divisors (see below), whose sum is σ = 426535200. Its totient is φ = 35536896.

The previous prime is 133294069. The next prime is 133294087. The reversal of 133294080 is 80492331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133294087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28551 + ... + 32889.

It is an arithmetic number, because the mean of its divisors is an integer number (4443075).

Almost surely, 2^133294080 is an apocalyptic number.

133294080 is a gapful number since it is divisible by the number (10) 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 133294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

133294080 is an abundant number, since it is smaller than the sum of its proper divisors (293241120).

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

133294080 is an equidigital number, since it uses as much as digits as its factorization.

133294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 133294080 is about 11545.3055394823. The cubic root of 133294080 is about 510.8228163425.

The spelling of 133294080 in words is "one hundred thirty-three million, two hundred ninety-four thousand, eighty".