133443840 has 288 divisors, whose sum is σ = 470937600. Its totient is φ = 32071680.

The previous prime is 133443803. The next prime is 133443851. The reversal of 133443840 is 48344331.

133443840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133443798 and 133443807.

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 31 ways as a sum of consecutive naturals, for example, 2261731 + ... + 2261789.

It is an arithmetic number, because the mean of its divisors is an integer number (1635200).

Almost surely, 2^133443840 is an apocalyptic number.

133443840 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 133443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235468800).

133443840 is an abundant number, since it is smaller than the sum of its proper divisors (337493760).

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

133443840 is a wasteful number, since it uses less digits than its factorization.

133443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 133443840 is about 11551.7894717658. The cubic root of 133443840 is about 511.0140531238.

The spelling of 133443840 in words is "one hundred thirty-three million, four hundred forty-three thousand, eight hundred forty".