133112000 has 112 divisors (see below), whose sum is σ = 376903488. Its totient is φ = 45619200.

The previous prime is 133111973. The next prime is 133112003. The reversal of 133112000 is 211331.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (133112003) 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, 54812 + ... + 57188.

Almost surely, 2^133112000 is an apocalyptic number.

133112000 is a gapful number since it is divisible by the number (10) 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 133112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188451744).

133112000 is an abundant number, since it is smaller than the sum of its proper divisors (243791488).

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

133112000 is an equidigital number, since it uses as much as digits as its factorization.

133112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 133112000 is about 11537.4173886533. The cubic root of 133112000 is about 510.5901153316.

Adding to 133112000 its reverse (211331), we get a palindrome (133323331).

It can be divided in two parts, 1331 and 12000, that added together give a palindrome (13331).

The spelling of 133112000 in words is "one hundred thirty-three million, one hundred twelve thousand".