132184905120 has 144 divisors (see below), whose sum is σ = 451249966440. Its totient is φ = 35236104192.

The previous prime is 132184905119. The next prime is 132184905143. The reversal of 132184905120 is 21509481231.

132184905120 is a `hidden beast` number, since 1 + 32 + 18 + 490 + 5 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130803742224 + 1381162896 = 361668^2 + 37164^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 4184746 + ... + 4216214.

Almost surely, 2^132184905120 is an apocalyptic number.

132184905120 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 132184905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225624983220).

132184905120 is an abundant number, since it is smaller than the sum of its proper divisors (319065061320).

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

132184905120 is a wasteful number, since it uses less digits than its factorization.

132184905120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34407 (or 34396 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 132184905120 in words is "one hundred thirty-two billion, one hundred eighty-four million, nine hundred five thousand, one hundred twenty".