132285619814400 has 1080 divisors, whose sum is σ = 511889718738944. Its totient is φ = 32462025523200.

The previous prime is 132285619814393. The next prime is 132285619814441. The reversal of 132285619814400 is 4418916582231.

132285619814400 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 8 + 5 + 6 + 198 + 1 + 440 + 0 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 16150114305 + ... + 16150122495.

Almost surely, 2^{132285619814400} is an apocalyptic number.

132285619814400 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 132285619814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255944859369472).

132285619814400 is an abundant number, since it is smaller than the sum of its proper divisors (379604098924544).

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

132285619814400 is a wasteful number, since it uses less digits than its factorization.

132285619814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 132285619814400 in words is "one hundred thirty-two trillion, two hundred eighty-five billion, six hundred nineteen million, eight hundred fourteen thousand, four hundred".