133355616 has 96 divisors (see below), whose sum is σ = 379880928. Its totient is φ = 40796160.

The previous prime is 133355603. The next prime is 133355617. The reversal of 133355616 is 616553331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133355617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65916 + ... + 67908.

It is an arithmetic number, because the mean of its divisors is an integer number (3957093).

Almost surely, 2^133355616 is an apocalyptic number.

133355616 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 133355616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189940464).

133355616 is an abundant number, since it is smaller than the sum of its proper divisors (246525312).

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

133355616 is a wasteful number, since it uses less digits than its factorization.

133355616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2056 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 133355616 is about 11547.9702112536. The cubic root of 133355616 is about 510.9014123732.

The spelling of 133355616 in words is "one hundred thirty-three million, three hundred fifty-five thousand, six hundred sixteen".