133628112 has 30 divisors (see below), whose sum is σ = 373973522. Its totient is φ = 44542656.

The previous prime is 133628111. The next prime is 133628119. The reversal of 133628112 is 211826331.

It is a happy number.

133628112 is a `hidden beast` number, since 1 + 33 + 628 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123743376 + 9884736 = 11124^2 + 3144^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133628111) 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 5 ways as a sum of consecutive naturals, for example, 463843 + ... + 464130.

Almost surely, 2^133628112 is an apocalyptic number.

133628112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133628112 is an abundant number, since it is smaller than the sum of its proper divisors (240345410).

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

133628112 is a wasteful number, since it uses less digits than its factorization.

133628112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927987 (or 927978 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 133628112 is about 11559.7626273207. The cubic root of 133628112 is about 511.2491639403.

The spelling of 133628112 in words is "one hundred thirty-three million, six hundred twenty-eight thousand, one hundred twelve".