132242166236400 has 480 divisors, whose sum is σ = 475515499345920. Its totient is φ = 31138197888000.

The previous prime is 132242166236381. The next prime is 132242166236431. The reversal of 132242166236400 is 4632661242231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100949605 + ... + 102251195.

It is an arithmetic number, because the mean of its divisors is an integer number (990657290304).

Almost surely, 2^{132242166236400} is an apocalyptic number.

132242166236400 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 132242166236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237757749672960).

132242166236400 is an abundant number, since it is smaller than the sum of its proper divisors (343273333109520).

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

132242166236400 is a wasteful number, since it uses less digits than its factorization.

132242166236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301845 (or 1301834 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 132242166236400 in words is "one hundred thirty-two trillion, two hundred forty-two billion, one hundred sixty-six million, two hundred thirty-six thousand, four hundred".