132731924813280 has 288 divisors, whose sum is σ = 488073376103040. Its totient is φ = 32653481287680.

The previous prime is 132731924813233. The next prime is 132731924813291. The reversal of 132731924813280 is 82318429137231.

132731924813280 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 319 + 2 + 48 + 1 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30157161 + ... + 34277079.

It is an arithmetic number, because the mean of its divisors is an integer number (1694699222580).

Almost surely, 2^{132731924813280} is an apocalyptic number.

132731924813280 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 132731924813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244036688051520).

132731924813280 is an abundant number, since it is smaller than the sum of its proper divisors (355341451289760).

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

132731924813280 is a wasteful number, since it uses less digits than its factorization.

132731924813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121674 (or 4121663 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 132731924813280 in words is "one hundred thirty-two trillion, seven hundred thirty-one billion, nine hundred twenty-four million, eight hundred thirteen thousand, two hundred eighty".