132769280 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 43868160.

The previous prime is 132769267. The next prime is 132769289. The reversal of 132769280 is 82967231.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132769289) 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 15 ways as a sum of consecutive naturals, for example, 555401 + ... + 555639.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^132769280 is an apocalyptic number.

132769280 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 132769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

132769280 is an abundant number, since it is smaller than the sum of its proper divisors (244349440).

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

132769280 is an equidigital number, since it uses as much as digits as its factorization.

132769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 132769280 is about 11522.5552721608. Note that the first 3 decimals coincide. The cubic root of 132769280 is about 510.1515376933.

It can be divided in two parts, 1327 and 69280, that added together give a palindrome (70607).

The spelling of 132769280 in words is "one hundred thirty-two million, seven hundred sixty-nine thousand, two hundred eighty".