133661020212500 has 288 divisors, whose sum is σ = 339775367984640. Its totient is φ = 45491058000000.

The previous prime is 133661020212497. The next prime is 133661020212569. The reversal of 133661020212500 is 5212020166331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216529295 + ... + 217145705.

It is an arithmetic number, because the mean of its divisors is an integer number (1179775583280).

Almost surely, 2^{133661020212500} is an apocalyptic number.

133661020212500 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 133661020212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169887683992320).

133661020212500 is an abundant number, since it is smaller than the sum of its proper divisors (206114347772140).

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

133661020212500 is a wasteful number, since it uses less digits than its factorization.

133661020212500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616553 (or 616531 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 133661020212500 its reverse (5212020166331), we get a palindrome (138873040378831).

The spelling of 133661020212500 in words is "one hundred thirty-three trillion, six hundred sixty-one billion, twenty million, two hundred twelve thousand, five hundred".