132063274284480 has 4032 divisors, whose sum is σ = 608900103512064. Its totient is φ = 25676675481600.

The previous prime is 132063274284439. The next prime is 132063274284509. The reversal of 132063274284480 is 84482472360231.

132063274284480 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 63 + 27 + 4 + 2 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 332653083642 + ... + 332653084038.

It is an arithmetic number, because the mean of its divisors is an integer number (151016890752).

Almost surely, 2^{132063274284480} is an apocalyptic number.

132063274284480 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 132063274284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304450051756032).

132063274284480 is an abundant number, since it is smaller than the sum of its proper divisors (476836829227584).

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

132063274284480 is a wasteful number, since it uses less digits than its factorization.

132063274284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 132063274284480 in words is "one hundred thirty-two trillion, sixty-three billion, two hundred seventy-four million, two hundred eighty-four thousand, four hundred eighty".