133632696960 has 1536 divisors, whose sum is σ = 608576716800. Its totient is φ = 26276659200.

The previous prime is 133632696881. The next prime is 133632696961. The reversal of 133632696960 is 69696236331.

It is a happy number.

133632696960 is a `hidden beast` number, since 13 + 363 + 269 + 6 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133632696897 and 133632696906.

It is not an unprimeable number, because it can be changed into a prime (133632696961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 403723995 + ... + 403724325.

It is an arithmetic number, because the mean of its divisors is an integer number (396208800).

Almost surely, 2^133632696960 is an apocalyptic number.

133632696960 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 133632696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304288358400).

133632696960 is an abundant number, since it is smaller than the sum of its proper divisors (474944019840).

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

133632696960 is a wasteful number, since it uses less digits than its factorization.

133632696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 133632696960 in words is "one hundred thirty-three billion, six hundred thirty-two million, six hundred ninety-six thousand, nine hundred sixty".