132633680 has 80 divisors (see below), whose sum is σ = 329443200. Its totient is φ = 49512960.

The previous prime is 132633679. The next prime is 132633689. The reversal of 132633680 is 86336231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132633689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107306 + ... + 108534.

It is an arithmetic number, because the mean of its divisors is an integer number (4118040).

Almost surely, 2^132633680 is an apocalyptic number.

132633680 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 132633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164721600).

132633680 is an abundant number, since it is smaller than the sum of its proper divisors (196809520).

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

132633680 is a wasteful number, since it uses less digits than its factorization.

132633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 132633680 is about 11516.6696575008. The cubic root of 132633680 is about 509.9778024428.

The spelling of 132633680 in words is "one hundred thirty-two million, six hundred thirty-three thousand, six hundred eighty".