133085472 has 96 divisors (see below), whose sum is σ = 379048320. Its totient is φ = 40884480.

The previous prime is 133085441. The next prime is 133085479. The reversal of 133085472 is 274580331.

133085472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133085479) 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, 210597 + ... + 211227.

It is an arithmetic number, because the mean of its divisors is an integer number (3948420).

Almost surely, 2^133085472 is an apocalyptic number.

133085472 is a gapful number since it is divisible by the number (12) 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 133085472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189524160).

133085472 is an abundant number, since it is smaller than the sum of its proper divisors (245962848).

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

133085472 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (133085473) it forms an eRAP, since the sums of their prime factors are consecutive (683 and 684).

133085472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 133085472 is about 11536.2676806669. The cubic root of 133085472 is about 510.5561944367.

The spelling of 133085472 in words is "one hundred thirty-three million, eighty-five thousand, four hundred seventy-two".