133561824 has 96 divisors (see below), whose sum is σ = 387555840. Its totient is φ = 39936000.

The previous prime is 133561817. The next prime is 133561867. The reversal of 133561824 is 428165331.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82624 + ... + 84224.

It is an arithmetic number, because the mean of its divisors is an integer number (4037040).

Almost surely, 2^133561824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133561824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193777920).

133561824 is an abundant number, since it is smaller than the sum of its proper divisors (253994016).

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

133561824 is a wasteful number, since it uses less digits than its factorization.

133561824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1696 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 133561824 is about 11556.8950847535. The cubic root of 133561824 is about 511.1646126449.

The spelling of 133561824 in words is "one hundred thirty-three million, five hundred sixty-one thousand, eight hundred twenty-four".