132101988192 has 288 divisors, whose sum is σ = 402892491456. Its totient is φ = 40955904000.

The previous prime is 132101988173. The next prime is 132101988209. The reversal of 132101988192 is 291889101231.

132101988192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 108904578 + ... + 108905790.

It is an arithmetic number, because the mean of its divisors is an integer number (1398932262).

Almost surely, 2^132101988192 is an apocalyptic number.

132101988192 is a gapful number since it is divisible by the number (12) 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 132101988192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201446245728).

132101988192 is an abundant number, since it is smaller than the sum of its proper divisors (270790503264).

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

132101988192 is a wasteful number, since it uses less digits than its factorization.

132101988192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 132101988192 in words is "one hundred thirty-two billion, one hundred one million, nine hundred eighty-eight thousand, one hundred ninety-two".