133431144 has 128 divisors (see below), whose sum is σ = 420526080. Its totient is φ = 34272000.

The previous prime is 133431143. The next prime is 133431149. The reversal of 133431144 is 441134331.

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 not an unprimeable number, because it can be changed into a prime (133431143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189994 + ... + 190694.

It is an arithmetic number, because the mean of its divisors is an integer number (3285360).

Almost surely, 2^133431144 is an apocalyptic number.

133431144 is a gapful number since it is divisible by the number (14) 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 133431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210263040).

133431144 is an abundant number, since it is smaller than the sum of its proper divisors (287094936).

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

133431144 is a wasteful number, since it uses less digits than its factorization.

133431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 827 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 133431144 is about 11551.2399334444. The cubic root of 133431144 is about 510.9978464555.

Adding to 133431144 its reverse (441134331), we get a palindrome (574565475).

The spelling of 133431144 in words is "one hundred thirty-three million, four hundred thirty-one thousand, one hundred forty-four".