133672003228960 has 192 divisors, whose sum is σ = 374115647324160. Its totient is φ = 44166425103360.

The previous prime is 133672003228949. The next prime is 133672003228961. The reversal of 133672003228960 is 69822300276331.

It is a junction number, because it is equal to n+sod(n) for n = 133672003228898 and 133672003228907.

It is not an unprimeable number, because it can be changed into a prime (133672003228961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243687 + ... + 16352473.

It is an arithmetic number, because the mean of its divisors is an integer number (1948518996480).

Almost surely, 2^{133672003228960} is an apocalyptic number.

133672003228960 is a gapful number since it is divisible by the number (10) 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 133672003228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187057823662080).

133672003228960 is an abundant number, since it is smaller than the sum of its proper divisors (240443644095200).

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

133672003228960 is a wasteful number, since it uses less digits than its factorization.

133672003228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16109079 (or 16109071 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 133672003228960 in words is "one hundred thirty-three trillion, six hundred seventy-two billion, three million, two hundred twenty-eight thousand, nine hundred sixty".