133602629364960 has 192 divisors, whose sum is σ = 481157595781632. Its totient is φ = 30525799090176.

The previous prime is 133602629364889. The next prime is 133602629364961. The reversal of 133602629364960 is 69463926206331.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 133602629364894 and 133602629364903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133602629364961) 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, 816259 + ... + 16366781.

It is an arithmetic number, because the mean of its divisors is an integer number (2506029144696).

Almost surely, 2^{133602629364960} is an apocalyptic number.

133602629364960 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 133602629364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240578797890816).

133602629364960 is an abundant number, since it is smaller than the sum of its proper divisors (347554966416672).

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

133602629364960 is a wasteful number, since it uses less digits than its factorization.

133602629364960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15553105 (or 15553097 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 60.

The spelling of 133602629364960 in words is "one hundred thirty-three trillion, six hundred two billion, six hundred twenty-nine million, three hundred sixty-four thousand, nine hundred sixty".