133132080 has 80 divisors (see below), whose sum is σ = 416446560. Its totient is φ = 35180544.

The previous prime is 133132063. The next prime is 133132093. The reversal of 133132080 is 80231331.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24666 + ... + 29574.

It is an arithmetic number, because the mean of its divisors is an integer number (5205582).

Almost surely, 2^133132080 is an apocalyptic number.

133132080 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 133132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208223280).

133132080 is an abundant number, since it is smaller than the sum of its proper divisors (283314480).

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

133132080 is a wasteful number, since it uses less digits than its factorization.

133132080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 133132080 is about 11538.2875679193. The cubic root of 133132080 is about 510.6157882838.

It can be divided in two parts, 1331 and 32080, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 133132080 in words is "one hundred thirty-three million, one hundred thirty-two thousand, eighty".