133415568 has 360 divisors, whose sum is σ = 480247040. Its totient is φ = 34214400.

The previous prime is 133415561. The next prime is 133415593. The reversal of 133415568 is 865514331.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (133415561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4303713 + ... + 4303743.

Almost surely, 2^133415568 is an apocalyptic number.

133415568 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 133415568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240123520).

133415568 is an abundant number, since it is smaller than the sum of its proper divisors (346831472).

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

133415568 is a wasteful number, since it uses less digits than its factorization.

133415568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 133415568 is about 11550.5657004322. The cubic root of 133415568 is about 510.9779620118.

Adding to 133415568 its reverse (865514331), we get a palindrome (998929899).

The spelling of 133415568 in words is "one hundred thirty-three million, four hundred fifteen thousand, five hundred sixty-eight".