133224140 has 72 divisors (see below), whose sum is σ = 330467760. Its totient is φ = 44972928.

The previous prime is 133224131. The next prime is 133224149. The reversal of 133224140 is 41422331.

It is an interprime number because it is at equal distance from previous prime (133224131) and next prime (133224149).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (133224149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64646 + ... + 66674.

It is an arithmetic number, because the mean of its divisors is an integer number (4589830).

Almost surely, 2^133224140 is an apocalyptic number.

133224140 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 133224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165233880).

133224140 is an abundant number, since it is smaller than the sum of its proper divisors (197243620).

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

133224140 is a wasteful number, since it uses less digits than its factorization.

133224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 133224140 is about 11542.2762053245. The cubic root of 133224140 is about 510.7334570394.

Adding to 133224140 its reverse (41422331), we get a palindrome (174646471).

The spelling of 133224140 in words is "one hundred thirty-three million, two hundred twenty-four thousand, one hundred forty".