132331549559040 has 432 divisors, whose sum is σ = 498613062270960. Its totient is φ = 32207917547520.

The previous prime is 132331549558997. The next prime is 132331549559101. The reversal of 132331549559040 is 40955945133231.

It is a happy number.

132331549559040 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 1 + 5 + 4 + 9 + 5 + 590 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50336641108224 + 81994908450816 = 7094832^2 + 9055104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8364460 + ... + 18292820.

It is an arithmetic number, because the mean of its divisors is an integer number (1154196903405).

Almost surely, 2^{132331549559040} is an apocalyptic number.

132331549559040 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 132331549559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249306531135480).

132331549559040 is an abundant number, since it is smaller than the sum of its proper divisors (366281512711920).

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

132331549559040 is a wasteful number, since it uses less digits than its factorization.

132331549559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928490 (or 9928473 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 132331549559040 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, five hundred forty-nine million, five hundred fifty-nine thousand, forty".