133055136 has 144 divisors (see below), whose sum is σ = 399567168. Its totient is φ = 43545600.

The previous prime is 133055113. The next prime is 133055137. The reversal of 133055136 is 631550331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133055137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 551976 + ... + 552216.

It is an arithmetic number, because the mean of its divisors is an integer number (2774772).

Almost surely, 2^133055136 is an apocalyptic number.

133055136 is a gapful number since it is divisible by the number (16) 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 133055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199783584).

133055136 is an abundant number, since it is smaller than the sum of its proper divisors (266512032).

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

133055136 is an equidigital number, since it uses as much as digits as its factorization.

133055136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 133055136 is about 11534.9527957422. The cubic root of 133055136 is about 510.5173987930.

The spelling of 133055136 in words is "one hundred thirty-three million, fifty-five thousand, one hundred thirty-six".