132728299392 has 256 divisors, whose sum is σ = 400461465600. Its totient is φ = 38612754432.

The previous prime is 132728299381. The next prime is 132728299409. The reversal of 132728299392 is 293992827231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61934673 + ... + 61936815.

It is an arithmetic number, because the mean of its divisors is an integer number (1564302600).

Almost surely, 2^132728299392 is an apocalyptic number.

132728299392 is a gapful number since it is divisible by the number (12) 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 132728299392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200230732800).

132728299392 is an abundant number, since it is smaller than the sum of its proper divisors (267733166208).

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

132728299392 is a wasteful number, since it uses less digits than its factorization.

132728299392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2833 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The spelling of 132728299392 in words is "one hundred thirty-two billion, seven hundred twenty-eight million, two hundred ninety-nine thousand, three hundred ninety-two".