132727680 has 128 divisors (see below), whose sum is σ = 470138400. Its totient is φ = 35389440.

The previous prime is 132727667. The next prime is 132727691. The reversal of 132727680 is 86727231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13440 + ... + 21120.

Almost surely, 2^132727680 is an apocalyptic number.

132727680 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 132727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235069200).

132727680 is an abundant number, since it is smaller than the sum of its proper divisors (337410720).

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

132727680 is an equidigital number, since it uses as much as digits as its factorization.

132727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 132727680 is about 11520.7499755875. The cubic root of 132727680 is about 510.0982509670.

The spelling of 132727680 in words is "one hundred thirty-two million, seven hundred twenty-seven thousand, six hundred eighty".