133601066424336 has 320 divisors, whose sum is σ = 407405892608000. Its totient is φ = 36933918271488.

The previous prime is 133601066424313. The next prime is 133601066424337. The reversal of 133601066424336 is 633424660106331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (133601066424337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13428587490 + ... + 13428597438.

It is an arithmetic number, because the mean of its divisors is an integer number (1273143414400).

Almost surely, 2^{133601066424336} is an apocalyptic number.

133601066424336 is a gapful number since it is divisible by the number (16) 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 133601066424336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203702946304000).

133601066424336 is an abundant number, since it is smaller than the sum of its proper divisors (273804826183664).

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

133601066424336 is a wasteful number, since it uses less digits than its factorization.

133601066424336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18646 (or 18640 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 48.

The spelling of 133601066424336 in words is "one hundred thirty-three trillion, six hundred one billion, sixty-six million, four hundred twenty-four thousand, three hundred thirty-six".