133038080 has 144 divisors (see below), whose sum is σ = 377485920. Its totient is φ = 44040192.

The previous prime is 133038053. The next prime is 133038083. The reversal of 133038080 is 80830331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133038083) 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, 4587506 + ... + 4587534.

It is an arithmetic number, because the mean of its divisors is an integer number (2621430).

Almost surely, 2^133038080 is an apocalyptic number.

133038080 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 133038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188742960).

133038080 is an abundant number, since it is smaller than the sum of its proper divisors (244447840).

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

133038080 is an frugal number, since it uses more digits than its factorization.

133038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 133038080 is about 11534.2134538945. The cubic root of 133038080 is about 510.4955838845.

The spelling of 133038080 in words is "one hundred thirty-three million, thirty-eight thousand, eighty".