133521792 has 64 divisors (see below), whose sum is σ = 355906560. Its totient is φ = 44352000.

The previous prime is 133521767. The next prime is 133521803. The reversal of 133521792 is 297125331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177417 + ... + 178167.

It is an arithmetic number, because the mean of its divisors is an integer number (5561040).

Almost surely, 2^133521792 is an apocalyptic number.

133521792 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 133521792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177953280).

133521792 is an abundant number, since it is smaller than the sum of its proper divisors (222384768).

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

133521792 is an equidigital number, since it uses as much as digits as its factorization.

133521792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1219 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 133521792 is about 11555.1630018793. The cubic root of 133521792 is about 511.1135377046.

The spelling of 133521792 in words is "one hundred thirty-three million, five hundred twenty-one thousand, seven hundred ninety-two".