133289520 has 320 divisors, whose sum is σ = 539965440. Its totient is φ = 26394624.

The previous prime is 133289479. The next prime is 133289549. The reversal of 133289520 is 25982331.

133289520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133289520² = 35532192283660800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371101 + ... + 371459.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^133289520 is an apocalyptic number.

133289520 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 133289520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

133289520 is an abundant number, since it is smaller than the sum of its proper divisors (406675920).

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

133289520 is a wasteful number, since it uses less digits than its factorization.

133289520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 133289520 is about 11545.1080549296. The cubic root of 133289520 is about 510.8169911810.

The spelling of 133289520 in words is "one hundred thirty-three million, two hundred eighty-nine thousand, five hundred twenty".