132252004666000 has 80 divisors (see below), whose sum is σ = 330812428368240. Its totient is φ = 51076636262400.

The previous prime is 132252004665997. The next prime is 132252004666007. The reversal of 132252004666000 is 666400252231.

It can be written as a sum of positive squares in 8 ways, for example, as 59168587020544 + 73083417645456 = 7692112^2 + 8548884^2 .

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

It is not an unprimeable number, because it can be changed into a prime (132252004666007) 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 15 ways as a sum of consecutive naturals, for example, 1140045489 + ... + 1140161488.

It is an arithmetic number, because the mean of its divisors is an integer number (4135155354603).

Almost surely, 2^{132252004666000} is an apocalyptic number.

132252004666000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132252004666000 is an abundant number, since it is smaller than the sum of its proper divisors (198560423702240).

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

132252004666000 is a wasteful number, since it uses less digits than its factorization.

132252004666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280207029 (or 2280207013 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 132252004666000 in words is "one hundred thirty-two trillion, two hundred fifty-two billion, four million, six hundred sixty-six thousand".