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132539909274540 = 2232519312531515039
BaseRepresentation
bin11110001000101101011010…
…001101011111101110101100
3122101021200200011102001112200
4132020231122031133232230
5114333013213233241130
61145515554352301500
736626456336263245
oct3610553215375654
9571250604361480
10132539909274540
113925a950528129
1212a47157541890
1358c55c92a2671
1424a2d74383ccc
15104ca01c1e760
hex788b5a35fbac

132539909274540 has 864 divisors, whose sum is σ = 448579860019200. Its totient is φ = 31575443328000.

The previous prime is 132539909274503. The next prime is 132539909274611. The reversal of 132539909274540 is 45472909935231.

132539909274540 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 3 + 9 + 90 + 92 + 7 + 454 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26302817341 + ... + 26302822379.

It is an arithmetic number, because the mean of its divisors is an integer number (519189652800).

Almost surely, 2132539909274540 is an apocalyptic number.

132539909274540 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 132539909274540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224289930009600).

132539909274540 is an abundant number, since it is smaller than the sum of its proper divisors (316039950744660).

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

132539909274540 is a wasteful number, since it uses less digits than its factorization.

132539909274540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5339 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 132539909274540 in words is "one hundred thirty-two trillion, five hundred thirty-nine billion, nine hundred nine million, two hundred seventy-four thousand, five hundred forty".