133835920 has 20 divisors (see below), whose sum is σ = 311168700. Its totient is φ = 53534336.

The previous prime is 133835857. The next prime is 133835927. The reversal of 133835920 is 29538331.

133835920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61653904 + 72182016 = 7852^2 + 8496^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (133835927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 836395 + ... + 836554.

It is an arithmetic number, because the mean of its divisors is an integer number (15558435).

Almost surely, 2^133835920 is an apocalyptic number.

133835920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133835920 is an abundant number, since it is smaller than the sum of its proper divisors (177332780).

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

133835920 is a wasteful number, since it uses less digits than its factorization.

133835920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672962 (or 1672956 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 133835920 is about 11568.7475553752. The cubic root of 133835920 is about 511.5140449330.

The spelling of 133835920 in words is "one hundred thirty-three million, eight hundred thirty-five thousand, nine hundred twenty".