132374082816 has 252 divisors, whose sum is σ = 397112087092. Its totient is φ = 44019376128.

The previous prime is 132374082721. The next prime is 132374082821. The reversal of 132374082816 is 618280473231.

132374082816 is a `hidden beast` number, since 1 + 3 + 237 + 408 + 2 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38296924416 + 94077158400 = 195696^2 + 306720^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 141273900 + ... + 141274836.

Almost surely, 2^132374082816 is an apocalyptic number.

132374082816 is a gapful number since it is divisible by the number (16) 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 132374082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198556043546).

132374082816 is an abundant number, since it is smaller than the sum of its proper divisors (264738004276).

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

132374082816 is an frugal number, since it uses more digits than its factorization.

132374082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 132374082816 in words is "one hundred thirty-two billion, three hundred seventy-four million, eighty-two thousand, eight hundred sixteen".