133184040 has 128 divisors (see below), whose sum is σ = 439257600. Its totient is φ = 32037120.

The previous prime is 133184039. The next prime is 133184059. The reversal of 133184040 is 40481331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133184040.

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 31 ways as a sum of consecutive naturals, for example, 214851 + ... + 215469.

It is an arithmetic number, because the mean of its divisors is an integer number (3431700).

Almost surely, 2^133184040 is an apocalyptic number.

133184040 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 133184040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219628800).

133184040 is an abundant number, since it is smaller than the sum of its proper divisors (306073560).

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

133184040 is a wasteful number, since it uses less digits than its factorization.

133184040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 133184040 is about 11540.5389822140. The cubic root of 133184040 is about 510.6822089027.

The spelling of 133184040 in words is "one hundred thirty-three million, one hundred eighty-four thousand, forty".