133431424 has 64 divisors (see below), whose sum is σ = 306293760. Its totient is φ = 56715264.

The previous prime is 133431413. The next prime is 133431439. The reversal of 133431424 is 424134331.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122209 + ... + 123295.

It is an arithmetic number, because the mean of its divisors is an integer number (4785840).

Almost surely, 2^133431424 is an apocalyptic number.

133431424 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 133431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153146880).

133431424 is an abundant number, since it is smaller than the sum of its proper divisors (172862336).

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

133431424 is a wasteful number, since it uses less digits than its factorization.

133431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1233 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 133431424 is about 11551.2520533490. The cubic root of 133431424 is about 510.9982038915.

Adding to 133431424 its reverse (424134331), we get a palindrome (557565755).

The spelling of 133431424 in words is "one hundred thirty-three million, four hundred thirty-one thousand, four hundred twenty-four".