133820416 has 52 divisors (see below), whose sum is σ = 275152072. Its totient is φ = 65028096.

The previous prime is 133820411. The next prime is 133820431. The reversal of 133820416 is 614028331.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133820411) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 151111 + ... + 151993.

It is an arithmetic number, because the mean of its divisors is an integer number (5291386).

Almost surely, 2^133820416 is an apocalyptic number.

133820416 is a gapful number since it is divisible by the number (16) 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 133820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137576036).

133820416 is an abundant number, since it is smaller than the sum of its proper divisors (141331656).

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

133820416 is an frugal number, since it uses more digits than its factorization.

133820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 133820416 is about 11568.0774547891. The cubic root of 133820416 is about 511.4942923385.

Adding to 133820416 its reverse (614028331), we get a palindrome (747848747).

The spelling of 133820416 in words is "one hundred thirty-three million, eight hundred twenty thousand, four hundred sixteen".