132828705 has 24 divisors (see below), whose sum is σ = 236461992. Its totient is φ = 68926464.

The previous prime is 132828691. The next prime is 132828713. The reversal of 132828705 is 507828231.

It can be written as a sum of positive squares in 4 ways, for example, as 66438801 + 66389904 = 8151^2 + 8148^2 .

It is not a de Polignac number, because 132828705 - 2⁹ = 132828193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132828705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38224 + ... + 41553.

It is an arithmetic number, because the mean of its divisors is an integer number (9852583).

Almost surely, 2^132828705 is an apocalyptic number.

132828705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132828705 is a deficient number, since it is larger than the sum of its proper divisors (103633287).

132828705 is a wasteful number, since it uses less digits than its factorization.

132828705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79825 (or 79822 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 132828705 is about 11525.1336217850. The cubic root of 132828705 is about 510.2276377102.

The spelling of 132828705 in words is "one hundred thirty-two million, eight hundred twenty-eight thousand, seven hundred five".