133563792 has 80 divisors (see below), whose sum is σ = 359352000. Its totient is φ = 42696192.

The previous prime is 133563791. The next prime is 133563797. The reversal of 133563792 is 297365331.

It is a self number, because there is not a number n which added to its sum of digits gives 133563792.

It is not an unprimeable number, because it can be changed into a prime (133563791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318559 + ... + 318977.

It is an arithmetic number, because the mean of its divisors is an integer number (4491900).

Almost surely, 2^133563792 is an apocalyptic number.

133563792 is a gapful number since it is divisible by the number (12) 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 133563792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179676000).

133563792 is an abundant number, since it is smaller than the sum of its proper divisors (225788208).

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

133563792 is a wasteful number, since it uses less digits than its factorization.

133563792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its digits is 102060, while the sum is 39.

The square root of 133563792 is about 11556.9802284161. The cubic root of 133563792 is about 511.1671232600.

The spelling of 133563792 in words is "one hundred thirty-three million, five hundred sixty-three thousand, seven hundred ninety-two".