133428686236224 has 224 divisors, whose sum is σ = 371580320348160. Its totient is φ = 42211703052288.

The previous prime is 133428686236199. The next prime is 133428686236259. The reversal of 133428686236224 is 422632686824331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52699542 + ... + 55173354.

It is an arithmetic number, because the mean of its divisors is an integer number (1658840715840).

Almost surely, 2^{133428686236224} 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 133428686236224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185790160174080).

133428686236224 is an abundant number, since it is smaller than the sum of its proper divisors (238151634111936).

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

133428686236224 is a wasteful number, since it uses less digits than its factorization.

133428686236224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474057 (or 2474047 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 60.

The spelling of 133428686236224 in words is "one hundred thirty-three trillion, four hundred twenty-eight billion, six hundred eighty-six million, two hundred thirty-six thousand, two hundred twenty-four".