133332144 has 80 divisors (see below), whose sum is σ = 381463680. Its totient is φ = 39790080.

The previous prime is 133332137. The next prime is 133332163. The reversal of 133332144 is 441233331.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33492 + ... + 37260.

It is an arithmetic number, because the mean of its divisors is an integer number (4768296).

Almost surely, 2^133332144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190731840).

133332144 is an abundant number, since it is smaller than the sum of its proper divisors (248131536).

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

133332144 is a wasteful number, since it uses less digits than its factorization.

133332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3852 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 133332144 is about 11546.9538840337. The cubic root of 133332144 is about 510.8714359289.

Adding to 133332144 its reverse (441233331), we get a palindrome (574565475).

The spelling of 133332144 in words is "one hundred thirty-three million, three hundred thirty-two thousand, one hundred forty-four".