133678944 has 288 divisors, whose sum is σ = 480453120. Its totient is φ = 35354880.

The previous prime is 133678943. The next prime is 133678957. The reversal of 133678944 is 449876331.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 133678944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133678943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4312209 + ... + 4312239.

It is an arithmetic number, because the mean of its divisors is an integer number (1668240).

Almost surely, 2^133678944 is an apocalyptic number.

133678944 is a gapful number since it is divisible by the number (14) 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 133678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240226560).

133678944 is an abundant number, since it is smaller than the sum of its proper divisors (346774176).

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

133678944 is a wasteful number, since it uses less digits than its factorization.

133678944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 133678944 is about 11561.9610793325. The cubic root of 133678944 is about 511.3139819455.

The spelling of 133678944 in words is "one hundred thirty-three million, six hundred seventy-eight thousand, nine hundred forty-four".