133434880 has 80 divisors (see below), whose sum is σ = 327032640. Its totient is φ = 52191232.

The previous prime is 133434841. The next prime is 133434883. The reversal of 133434880 is 88434331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×133434880² = 35609734401228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133434883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119766 + ... + 120874.

It is an arithmetic number, because the mean of its divisors is an integer number (4087908).

Almost surely, 2^133434880 is an apocalyptic number.

133434880 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 133434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163516320).

133434880 is an abundant number, since it is smaller than the sum of its proper divisors (193597760).

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

133434880 is an equidigital number, since it uses as much as digits as its factorization.

133434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 133434880 is about 11551.4016465535. The cubic root of 133434880 is about 511.0026156322.

The spelling of 133434880 in words is "one hundred thirty-three million, four hundred thirty-four thousand, eight hundred eighty".