33131136 has 96 divisors (see below), whose sum is σ = 93268800. Its totient is φ = 10418688.

The previous prime is 33131107. The next prime is 33131149. The reversal of 33131136 is 63113133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138505 + ... + 138743.

It is an arithmetic number, because the mean of its divisors is an integer number (971550).

Almost surely, 2^33131136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46634400).

33131136 is an abundant number, since it is smaller than the sum of its proper divisors (60137664).

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

33131136 is a wasteful number, since it uses less digits than its factorization.

33131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 33131136 is about 5755.9652535435. The cubic root of 33131136 is about 321.1777433921.

Adding to 33131136 its reverse (63113133), we get a palindrome (96244269).

The spelling of 33131136 in words is "thirty-three million, one hundred thirty-one thousand, one hundred thirty-six".