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132539895378 = 233111747972879
BaseRepresentation
bin111101101101111111…
…1100100111001010010
3110200002221012022002000
41323123333210321102
54132420203123003
6140515445534430
712401314344102
oct1733377447122
9420087168060
10132539895378
1151234352120
122182b414416
13c663161cc7
1465b4943202
1536aad201a3
hex1edbfe4e52

132539895378 has 256 divisors, whose sum is σ = 351151718400. Its totient is φ = 36602634240.

The previous prime is 132539895307. The next prime is 132539895479. The reversal of 132539895378 is 873598935231.

132539895378 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 3 + 98 + 9 + 537 + 8 = 666.

It is a super-2 number, since 2×1325398953782 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46035343 + ... + 46038221.

It is an arithmetic number, because the mean of its divisors is an integer number (1371686400).

Almost surely, 2132539895378 is an apocalyptic number.

132539895378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132539895378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175575859200).

132539895378 is an abundant number, since it is smaller than the sum of its proper divisors (218611823022).

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

132539895378 is a wasteful number, since it uses less digits than its factorization.

132539895378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3056 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 132539895378 in words is "one hundred thirty-two billion, five hundred thirty-nine million, eight hundred ninety-five thousand, three hundred seventy-eight".