133221144 has 32 divisors (see below), whose sum is σ = 380632320. Its totient is φ = 38063136.

The previous prime is 133221107. The next prime is 133221149. The reversal of 133221144 is 441122331.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 133221144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133221149) 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, 396324 + ... + 396659.

It is an arithmetic number, because the mean of its divisors is an integer number (11894760).

Almost surely, 2^133221144 is an apocalyptic number.

133221144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133221144 is an abundant number, since it is smaller than the sum of its proper divisors (247411176).

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

133221144 is a wasteful number, since it uses less digits than its factorization.

133221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792999 (or 792995 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 133221144 is about 11542.1464208353. The cubic root of 133221144 is about 510.7296284817.

Adding to 133221144 its reverse (441122331), we get a palindrome (574343475).

The spelling of 133221144 in words is "one hundred thirty-three million, two hundred twenty-one thousand, one hundred forty-four".