133419416 has 32 divisors (see below), whose sum is σ = 271034400. Its totient is φ = 61570080.

The previous prime is 133419413. The next prime is 133419431. The reversal of 133419416 is 614914331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133419413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13781 + ... + 21371.

It is an arithmetic number, because the mean of its divisors is an integer number (8469825).

Almost surely, 2^133419416 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 133419416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135517200).

133419416 is an abundant number, since it is smaller than the sum of its proper divisors (137614984).

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

133419416 is an equidigital number, since it uses as much as digits as its factorization.

133419416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7636 (or 7606 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 133419416 is about 11550.7322711593. The cubic root of 133419416 is about 510.9828745427.

The spelling of 133419416 in words is "one hundred thirty-three million, four hundred nineteen thousand, four hundred sixteen".