133435616 has 48 divisors (see below), whose sum is σ = 271479600. Its totient is φ = 64512000.

The previous prime is 133435597. The next prime is 133435637. The reversal of 133435616 is 616534331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296960 + ... + 297408.

It is an arithmetic number, because the mean of its divisors is an integer number (5655825).

Almost surely, 2^133435616 is an apocalyptic number.

133435616 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 133435616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135739800).

133435616 is an abundant number, since it is smaller than the sum of its proper divisors (138043984).

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

133435616 is a wasteful number, since it uses less digits than its factorization.

133435616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 739 counting only the distinct ones).

The product of its digits is 19440, while the sum is 32.

The square root of 133435616 is about 11551.4335041154. The cubic root of 133435616 is about 511.0035551598.

Adding to 133435616 its reverse (616534331), we get a palindrome (749969947).

The spelling of 133435616 in words is "one hundred thirty-three million, four hundred thirty-five thousand, six hundred sixteen".