133312080 has 80 divisors (see below), whose sum is σ = 450846144. Its totient is φ = 32317440.

The previous prime is 133312061. The next prime is 133312087. The reversal of 133312080 is 80213331.

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 2×133312080² = 35544221347852800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22609 + ... + 27888.

Almost surely, 2^133312080 is an apocalyptic number.

133312080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133312080 is an abundant number, since it is smaller than the sum of its proper divisors (317534064).

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

133312080 is a wasteful number, since it uses less digits than its factorization.

133312080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50524 (or 50518 counting only the distinct ones).

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

The square root of 133312080 is about 11546.0850507867. The cubic root of 133312080 is about 510.8458091036.

It can be divided in two parts, 133 and 312080, that added together give a palindrome (312213).

The spelling of 133312080 in words is "one hundred thirty-three million, three hundred twelve thousand, eighty".