133214112 has 48 divisors (see below), whose sum is σ = 388543680. Its totient is φ = 44404416.

The previous prime is 133214101. The next prime is 133214119. The reversal of 133214112 is 211412331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (133214119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76228 + ... + 77955.

It is an arithmetic number, because the mean of its divisors is an integer number (8094660).

Almost surely, 2^133214112 is an apocalyptic number.

133214112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133214112 is an abundant number, since it is smaller than the sum of its proper divisors (255329568).

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

133214112 is a wasteful number, since it uses less digits than its factorization.

133214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154202 (or 154188 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 133214112 is about 11541.8417940985. The cubic root of 133214112 is about 510.7206421355.

Adding to 133214112 its reverse (211412331), we get a palindrome (344626443).

The spelling of 133214112 in words is "one hundred thirty-three million, two hundred fourteen thousand, one hundred twelve".