132641680 has 40 divisors (see below), whose sum is σ = 311589432. Its totient is φ = 52506624.

The previous prime is 132641671. The next prime is 132641693. The reversal of 132641680 is 86146231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13220496 + 119421184 = 3636^2 + 10928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787 + ... + 16306.

Almost surely, 2^132641680 is an apocalyptic number.

132641680 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 132641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155794716).

132641680 is an abundant number, since it is smaller than the sum of its proper divisors (178947752).

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

132641680 is a wasteful number, since it uses less digits than its factorization.

132641680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17203 (or 17197 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 132641680 is about 11517.0169748942. The cubic root of 132641680 is about 509.9880555962.

The spelling of 132641680 in words is "one hundred thirty-two million, six hundred forty-one thousand, six hundred eighty".