132496000000 has 693 divisors, whose sum is σ = 417030931467. Its totient is φ = 41932800000.

The previous prime is 132495999947. The next prime is 132496000009. The reversal of 132496000000 is 694231.

The square root of 132496000000 is 364000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 62156473344 + 70339526656 = 249312^2 + 265216^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132496000009) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 10191999994 + ... + 10192000006.

Almost surely, 2^132496000000 is an apocalyptic number.

132496000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132496000000 is the 364000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132496000000

132496000000 is an abundant number, since it is smaller than the sum of its proper divisors (284534931467).

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

132496000000 is an frugal number, since it uses more digits than its factorization.

132496000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Multiplying 132496000000 by its sum of digits (25), we get a square (3312400000000 = 1820000²).

132496000000 divided by its sum of digits (25) gives a square (5299840000 = 72800²).

Multiplying 132496000000 by its product of nonzero digits (1296), we get a square (171714816000000 = 13104000²).

Adding to 132496000000 its reverse (694231), we get a palindrome (132496694231).

The spelling of 132496000000 in words is "one hundred thirty-two billion, four hundred ninety-six million", and thus it is an aban number.