133620112000 has 128 divisors (see below), whose sum is σ = 332733445200. Its totient is φ = 53364326400.

The previous prime is 133620111967. The next prime is 133620112051. The reversal of 133620112000 is 211026331.

It can be written as a sum of positive squares in 8 ways, for example, as 6273907264 + 127346204736 = 79208^2 + 356856^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10761796 + ... + 10774204.

Almost surely, 2^133620112000 is an apocalyptic number.

133620112000 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 133620112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166366722600).

133620112000 is an abundant number, since it is smaller than the sum of its proper divisors (199113333200).

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

133620112000 is an equidigital number, since it uses as much as digits as its factorization.

133620112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13111 (or 13089 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 133620112000 its reverse (211026331), we get a palindrome (133831138331).

The spelling of 133620112000 in words is "one hundred thirty-three billion, six hundred twenty million, one hundred twelve thousand".