132981184128 has 96 divisors (see below), whose sum is σ = 382493219040. Its totient is φ = 40917267456.

The previous prime is 132981184121. The next prime is 132981184139. The reversal of 132981184128 is 821481189231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (132981184121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 959676 + ... + 1089467.

It is an arithmetic number, because the mean of its divisors is an integer number (3984304365).

Almost surely, 2^132981184128 is an apocalyptic number.

It is an amenable number.

132981184128 is an abundant number, since it is smaller than the sum of its proper divisors (249512034912).

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

132981184128 is a wasteful number, since it uses less digits than its factorization.

132981184128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049186 (or 2049161 counting only the distinct ones).

The product of its digits is 221184, while the sum is 48.

The spelling of 132981184128 in words is "one hundred thirty-two billion, nine hundred eighty-one million, one hundred eighty-four thousand, one hundred twenty-eight".