133431648 has 192 divisors, whose sum is σ = 426746880. Its totient is φ = 35684352.

The previous prime is 133431629. The next prime is 133431653. The reversal of 133431648 is 846134331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1375536 + ... + 1375632.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^133431648 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 133431648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

133431648 is an abundant number, since it is smaller than the sum of its proper divisors (293315232).

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

133431648 is a wasteful number, since it uses less digits than its factorization.

133431648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 133431648 is about 11551.2617492636. The cubic root of 133431648 is about 510.9984898400.

Adding to 133431648 its reverse (846134331), we get a palindrome (979565979).

The spelling of 133431648 in words is "one hundred thirty-three million, four hundred thirty-one thousand, six hundred forty-eight".