133495920 has 120 divisors (see below), whose sum is σ = 462863232. Its totient is φ = 34444800.

The previous prime is 133495891. The next prime is 133495927. The reversal of 133495920 is 29594331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (133495927) 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 23 ways as a sum of consecutive naturals, for example, 19330 + ... + 25310.

Almost surely, 2^133495920 is an apocalyptic number.

133495920 is a gapful number since it is divisible by the number (10) 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 133495920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231431616).

133495920 is an abundant number, since it is smaller than the sum of its proper divisors (329367312).

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

133495920 is a wasteful number, since it uses less digits than its factorization.

133495920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 133495920 is about 11554.0434480748. The cubic root of 133495920 is about 511.0805234093.

The spelling of 133495920 in words is "one hundred thirty-three million, four hundred ninety-five thousand, nine hundred twenty".