132088320000 has 1950 divisors, whose sum is σ = 617698037418. Its totient is φ = 27869184000.

The previous prime is 132088319971. The next prime is 132088320031. The reversal of 132088320000 is 23880231.

It can be written as a sum of positive squares in 5 ways, for example, as 77399691264 + 54688628736 = 278208^2 + 233856^2 .

It is a tau number, because it is divible by the number of its divisors (1950).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 10160639994 + ... + 10160640006.

Almost surely, 2^132088320000 is an apocalyptic number.

132088320000 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 132088320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308849018709).

132088320000 is an abundant number, since it is smaller than the sum of its proper divisors (485609717418).

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

132088320000 is an frugal number, since it uses more digits than its factorization.

132088320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 132088320000 in words is "one hundred thirty-two billion, eighty-eight million, three hundred twenty thousand".