132101988144 has 80 divisors (see below), whose sum is σ = 390541051392. Its totient is φ = 37692555264.

The previous prime is 132101988107. The next prime is 132101988163. The reversal of 132101988144 is 441889101231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 132101988096 and 132101988105.

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 15 ways as a sum of consecutive naturals, for example, 14929 + ... + 514224.

Almost surely, 2^132101988144 is an apocalyptic number.

132101988144 is a gapful number since it is divisible by the number (14) 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 132101988144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195270525696).

132101988144 is an abundant number, since it is smaller than the sum of its proper divisors (258439063248).

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

132101988144 is a wasteful number, since it uses less digits than its factorization.

132101988144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529914 (or 529908 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 132101988144 in words is "one hundred thirty-two billion, one hundred one million, nine hundred eighty-eight thousand, one hundred forty-four".