133509408 has 48 divisors (see below), whose sum is σ = 355281696. Its totient is φ = 43891200.

The previous prime is 133509373. The next prime is 133509427. The reversal of 133509408 is 804905331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2518 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (7401702).

Almost surely, 2^133509408 is an apocalyptic number.

It is an amenable number.

133509408 is an abundant number, since it is smaller than the sum of its proper divisors (221772288).

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

133509408 is a wasteful number, since it uses less digits than its factorization.

133509408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19137 (or 19129 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 133509408 is about 11554.6271250958. The cubic root of 133509408 is about 511.0977354758.

The spelling of 133509408 in words is "one hundred thirty-three million, five hundred nine thousand, four hundred eight".