132807276 has 144 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 37402560.

The previous prime is 132807253. The next prime is 132807277. The reversal of 132807276 is 672708231.

It is a super-3 number, since 3×132807276³ (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132807276.

It is not an unprimeable number, because it can be changed into a prime (132807277) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 891250 + ... + 891398.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 2^132807276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132807276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

132807276 is an abundant number, since it is smaller than the sum of its proper divisors (270795924).

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

132807276 is a wasteful number, since it uses less digits than its factorization.

132807276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

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

The square root of 132807276 is about 11524.2039204450. The cubic root of 132807276 is about 510.2001982194.

The spelling of 132807276 in words is "one hundred thirty-two million, eight hundred seven thousand, two hundred seventy-six".