133586112 has 112 divisors (see below), whose sum is σ = 405993600. Its totient is φ = 38338560.

The previous prime is 133586111. The next prime is 133586177. The reversal of 133586112 is 211685331.

It is a self number, because there is not a number n which added to its sum of digits gives 133586112.

It is not an unprimeable number, because it can be changed into a prime (133586111) 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, 38464 + ... + 41792.

Almost surely, 2^133586112 is an apocalyptic number.

133586112 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 133586112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202996800).

133586112 is an abundant number, since it is smaller than the sum of its proper divisors (272407488).

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

133586112 is a wasteful number, since it uses less digits than its factorization.

133586112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3364 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 133586112 is about 11557.9458382534. The cubic root of 133586112 is about 511.1955955841.

The spelling of 133586112 in words is "one hundred thirty-three million, five hundred eighty-six thousand, one hundred twelve".