133109568 has 126 divisors (see below), whose sum is σ = 397438626. Its totient is φ = 44229888.

The previous prime is 133109531. The next prime is 133109569. The reversal of 133109568 is 865901331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 50808384 = 9072^2 + 7128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133109569) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419746 + ... + 420062.

Almost surely, 2^133109568 is an apocalyptic number.

133109568 is a gapful number since it is divisible by the number (18) 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 133109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198719313).

133109568 is an abundant number, since it is smaller than the sum of its proper divisors (264329058).

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

133109568 is an frugal number, since it uses more digits than its factorization.

133109568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 133109568 is about 11537.3119919676. The cubic root of 133109568 is about 510.5870057629.

The spelling of 133109568 in words is "one hundred thirty-three million, one hundred nine thousand, five hundred sixty-eight".