133985232 has 80 divisors (see below), whose sum is σ = 386820480. Its totient is φ = 44402688.

The previous prime is 133985231. The next prime is 133985239. The reversal of 133985232 is 232589331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133985231) 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, 82573 + ... + 84179.

It is an arithmetic number, because the mean of its divisors is an integer number (4835256).

Almost surely, 2^133985232 is an apocalyptic number.

133985232 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 133985232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193410240).

133985232 is an abundant number, since it is smaller than the sum of its proper divisors (252835248).

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

133985232 is a wasteful number, since it uses less digits than its factorization.

133985232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1805 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 133985232 is about 11575.1990047688. The cubic root of 133985232 is about 511.7041951817.

The spelling of 133985232 in words is "one hundred thirty-three million, nine hundred eighty-five thousand, two hundred thirty-two".