133341984 has 96 divisors (see below), whose sum is σ = 391789440. Its totient is φ = 44119296.

The previous prime is 133341979. The next prime is 133341997. The reversal of 133341984 is 489143331.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 15 ways as a sum of consecutive naturals, for example, 135157 + ... + 136139.

It is an arithmetic number, because the mean of its divisors is an integer number (4081140).

Almost surely, 2^133341984 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 133341984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195894720).

133341984 is an abundant number, since it is smaller than the sum of its proper divisors (258447456).

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

133341984 is a wasteful number, since it uses less digits than its factorization.

133341984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1145 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 133341984 is about 11547.3799625716. The cubic root of 133341984 is about 510.8840031692.

The spelling of 133341984 in words is "one hundred thirty-three million, three hundred forty-one thousand, nine hundred eighty-four".