132628132125 has 24 divisors (see below), whose sum is σ = 239084314872. Its totient is φ = 70735003200.

The previous prime is 132628132103. The next prime is 132628132129. The reversal of 132628132125 is 521231826231.

132628132125 is a `hidden beast` number, since 1 + 3 + 2 + 628 + 1 + 3 + 2 + 1 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5245525476 + 127382606649 = 72426^2 + 356907^2 .

It is not a de Polignac number, because 132628132125 - 2⁸ = 132628131869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132628132125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132628132129) 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 23 ways as a sum of consecutive naturals, for example, 58944712 + ... + 58946961.

It is an arithmetic number, because the mean of its divisors is an integer number (9961846453).

Almost surely, 2^132628132125 is an apocalyptic number.

132628132125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132628132125 is a deficient number, since it is larger than the sum of its proper divisors (106456182747).

132628132125 is a wasteful number, since it uses less digits than its factorization.

132628132125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117891694 (or 117891681 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 132628132125 its reverse (521231826231), we get a palindrome (653859958356).

The spelling of 132628132125 in words is "one hundred thirty-two billion, six hundred twenty-eight million, one hundred thirty-two thousand, one hundred twenty-five".