133523772 has 48 divisors (see below), whose sum is σ = 329831040. Its totient is φ = 41969088.

The previous prime is 133523771. The next prime is 133523813. The reversal of 133523772 is 277325331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133523771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10503 + ... + 19425.

It is an arithmetic number, because the mean of its divisors is an integer number (6871480).

Almost surely, 2^133523772 is an apocalyptic number.

133523772 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 133523772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164915520).

133523772 is an abundant number, since it is smaller than the sum of its proper divisors (196307268).

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

133523772 is a wasteful number, since it uses less digits than its factorization.

133523772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9002 (or 9000 counting only the distinct ones).

The product of its digits is 26460, while the sum is 33.

The square root of 133523772 is about 11555.2486775491. The cubic root of 133523772 is about 511.1160641332.

The spelling of 133523772 in words is "one hundred thirty-three million, five hundred twenty-three thousand, seven hundred seventy-two".