132406242225280 has 256 divisors, whose sum is σ = 343800866223360. Its totient is φ = 48564262010880.

The previous prime is 132406242225259. The next prime is 132406242225317. The reversal of 132406242225280 is 82522242604231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324096019 + ... + 324504301.

It is an arithmetic number, because the mean of its divisors is an integer number (1342972133685).

Almost surely, 2^{132406242225280} is an apocalyptic number.

132406242225280 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 132406242225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171900433111680).

132406242225280 is an abundant number, since it is smaller than the sum of its proper divisors (211394623998080).

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

132406242225280 is a wasteful number, since it uses less digits than its factorization.

132406242225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409087 (or 409075 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 132406242225280 in words is "one hundred thirty-two trillion, four hundred six billion, two hundred forty-two million, two hundred twenty-five thousand, two hundred eighty".