132282180008784 has 240 divisors, whose sum is σ = 407343390854400. Its totient is φ = 39818891049984.

The previous prime is 132282180008761. The next prime is 132282180008789. The reversal of 132282180008784 is 487800081282231.

132282180008784 is a `hidden beast` number, since 1 + 32 + 282 + 180 + 0 + 0 + 87 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132282180008784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132282180008789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202829487 + ... + 203480625.

It is an arithmetic number, because the mean of its divisors is an integer number (1697264128560).

Almost surely, 2^{132282180008784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132282180008784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203671695427200).

132282180008784 is an abundant number, since it is smaller than the sum of its proper divisors (275061210845616).

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

132282180008784 is a wasteful number, since it uses less digits than its factorization.

132282180008784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653522 (or 653513 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 132282180008784 in words is "one hundred thirty-two trillion, two hundred eighty-two billion, one hundred eighty million, eight thousand, seven hundred eighty-four".