133630464 has 120 divisors (see below), whose sum is σ = 391849920. Its totient is φ = 40437760.

The previous prime is 133630451. The next prime is 133630493. The reversal of 133630464 is 464036331.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185497 + ... + 186215.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^133630464 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 133630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

133630464 is an abundant number, since it is smaller than the sum of its proper divisors (258219456).

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

133630464 is an equidigital number, since it uses as much as digits as its factorization.

133630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 133630464 is about 11559.8643590658. The cubic root of 133630464 is about 511.2521634364.

Adding to 133630464 its reverse (464036331), we get a palindrome (597666795).

The spelling of 133630464 in words is "one hundred thirty-three million, six hundred thirty thousand, four hundred sixty-four".