132681600 has 288 divisors, whose sum is σ = 503137440. Its totient is φ = 33177600.

The previous prime is 132681589. The next prime is 132681607. The reversal of 132681600 is 6186231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132681607) 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 35 ways as a sum of consecutive naturals, for example, 489465 + ... + 489735.

It is an arithmetic number, because the mean of its divisors is an integer number (1747005).

Almost surely, 2^132681600 is an apocalyptic number.

132681600 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 132681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251568720).

132681600 is an abundant number, since it is smaller than the sum of its proper divisors (370455840).

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

132681600 is a wasteful number, since it uses less digits than its factorization.

132681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 132681600 is about 11518.7499321758. The cubic root of 132681600 is about 510.0392126712.

The spelling of 132681600 in words is "one hundred thirty-two million, six hundred eighty-one thousand, six hundred".