133004510463504 has 320 divisors, whose sum is σ = 379068438067200. Its totient is φ = 40021130612736.

The previous prime is 133004510463439. The next prime is 133004510463541. The reversal of 133004510463504 is 405364015400331.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056855077 + ... + 2056919739.

It is an arithmetic number, because the mean of its divisors is an integer number (1184588868960).

Almost surely, 2^{133004510463504} 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 133004510463504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189534219033600).

133004510463504 is an abundant number, since it is smaller than the sum of its proper divisors (246063927603696).

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

133004510463504 is a wasteful number, since it uses less digits than its factorization.

133004510463504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65742 (or 65736 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 133004510463504 its reverse (405364015400331), we get a palindrome (538368525863835).

The spelling of 133004510463504 in words is "one hundred thirty-three trillion, four billion, five hundred ten million, four hundred sixty-three thousand, five hundred four".