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132538374145 = 527795695577
BaseRepresentation
bin111101101101111100…
…1110001100000000001
3110200002211100000100001
41323123321301200001
54132414310433040
6140515353200001
712401265410032
oct1733371614001
9420084300301
10132538374145
1151233503201
122182aa00001
13c662a4b778
1465b4668a89
1536aab1e59a
hex1edbe71801

132538374145 has 8 divisors (see below), whose sum is σ = 159620224104. Its totient is φ = 105647915904.

The previous prime is 132538374109. The next prime is 132538374169. The reversal of 132538374145 is 541473835231.

It can be written as a sum of positive squares in 4 ways, for example, as 1506681856 + 131031692289 = 38816^2 + 361983^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132538374145 - 29 = 132538373633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132538374095 and 132538374104.

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 7 ways as a sum of consecutive naturals, for example, 47846404 + ... + 47849173.

It is an arithmetic number, because the mean of its divisors is an integer number (19952528013).

Almost surely, 2132538374145 is an apocalyptic number.

It is an amenable number.

132538374145 is a deficient number, since it is larger than the sum of its proper divisors (27081849959).

132538374145 is an equidigital number, since it uses as much as digits as its factorization.

132538374145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95695859.

The product of its digits is 1209600, while the sum is 46.

The spelling of 132538374145 in words is "one hundred thirty-two billion, five hundred thirty-eight million, three hundred seventy-four thousand, one hundred forty-five".

Divisors: 1 5 277 1385 95695577 478477885 26507674829 132538374145