133805952 has 128 divisors (see below), whose sum is σ = 451411200. Its totient is φ = 38223360.

The previous prime is 133805941. The next prime is 133805953. The reversal of 133805952 is 259508331.

It is a tau number, because it is divible by the number of its divisors (128).

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 (133805953) 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, 21427 + ... + 26957.

It is an arithmetic number, because the mean of its divisors is an integer number (3526650).

Almost surely, 2^133805952 is an apocalyptic number.

133805952 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 133805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225705600).

133805952 is an abundant number, since it is smaller than the sum of its proper divisors (317605248).

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

133805952 is an equidigital number, since it uses as much as digits as its factorization.

133805952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 133805952 is about 11567.4522691905. The cubic root of 133805952 is about 511.4758633617.

The spelling of 133805952 in words is "one hundred thirty-three million, eight hundred five thousand, nine hundred fifty-two".