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132265436325125 = 537322797165761
BaseRepresentation
bin11110000100101101110010…
…010110010010010100000101
3122100022110012200010120002112
4132010231302112102110011
5114314014103144401000
61145145522544350405
736600601545561605
oct3604556226222405
9570273180116075
10132265436325125
113916450271a854
1212a01b17015405
1358a5766c43a1c
1424939775c2c05
1510457da641235
hex784b72592505

132265436325125 has 64 divisors (see below), whose sum is σ = 168241233109248. Its totient is φ = 103794531840000.

The previous prime is 132265436325047. The next prime is 132265436325167. The reversal of 132265436325125 is 521523634562231.

It is a happy number.

It is not a de Polignac number, because 132265436325125 - 214 = 132265436308741 is a prime.

It is a super-3 number, since 3×1322654363251253 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2011272245 + ... + 2011338005.

It is an arithmetic number, because the mean of its divisors is an integer number (2628769267332).

Almost surely, 2132265436325125 is an apocalyptic number.

It is an amenable number.

132265436325125 is a deficient number, since it is larger than the sum of its proper divisors (35975796784123).

132265436325125 is an equidigital number, since it uses as much as digits as its factorization.

132265436325125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67047 (or 67037 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 50.

The spelling of 132265436325125 in words is "one hundred thirty-two trillion, two hundred sixty-five billion, four hundred thirty-six million, three hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 73 125 227 365 971 1135 1825 4855 5675 9125 16571 24275 28375 65761 70883 82855 121375 220417 328805 354415 414275 1102085 1644025 1772075 2071375 4800553 5510425 8220125 8860375 14927747 16090441 24002765 27552125 63853931 74638735 80452205 120013825 319269655 373193675 402261025 600069125 1089725531 1596348275 1865968375 2011305125 4661336963 5448627655 7981741375 14494842337 23306684815 27243138275 72474211685 116533424075 136215691375 362371058425 582667120375 1058123490601 1811855292125 5290617453005 26453087265025 132265436325125