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133432041130125 = 3538317927918581
BaseRepresentation
bin11110010101101100010001…
…011010011100100010001101
3122111102222102100212222201220
4132111230101122130202031
5114442122310012131000
61151441500010153553
740051101240033243
oct3625542132344215
9574388370788656
10133432041130125
1139574235719631
1212b700347228b9
13595b7839338ca
1424d42067c6793
151065d185e91a0
hex795b1169c88d

133432041130125 has 128 divisors (see below), whose sum is σ = 226068631326720. Its totient is φ = 69880393440000.

The previous prime is 133432041130109. The next prime is 133432041130133. The reversal of 133432041130125 is 521031140234331.

It is not a de Polignac number, because 133432041130125 - 24 = 133432041130109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15549703335 + ... + 15549711915.

It is an arithmetic number, because the mean of its divisors is an integer number (1766161182240).

Almost surely, 2133432041130125 is an apocalyptic number.

133432041130125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133432041130125 is a deficient number, since it is larger than the sum of its proper divisors (92636590196595).

133432041130125 is a wasteful number, since it uses less digits than its factorization.

133432041130125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11652 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 133432041130125 its reverse (521031140234331), we get a palindrome (654463181364456).

The spelling of 133432041130125 in words is "one hundred thirty-three trillion, four hundred thirty-two billion, forty-one million, one hundred thirty thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 83 125 179 249 375 415 537 895 1245 2075 2685 2791 4475 6225 8373 8581 10375 13425 13955 14857 22375 25743 31125 41865 42905 44571 67125 69775 74285 128715 209325 214525 222855 231653 348875 371425 499589 643575 694959 712223 1046625 1072625 1114275 1158265 1498767 1535999 1857125 2136669 2497945 3217875 3474795 3561115 4607997 5571375 5791325 7493835 7679995 10683345 12489725 17373975 17805575 23039985 23949571 28956625 37469175 38399975 41465887 53416725 62448625 71848713 86869875 89027875 115199925 119747855 124397661 127487917 187345875 191999875 207329435 267083625 359243565 382463751 575999625 598739275 621988305 637439585 1036647175 1796217825 1912318755 1987814393 2993696375 3109941525 3187197925 4286973209 5183235875 5963443179 8981089125 9561593775 9939071965 12860919627 15549707625 15935989625 21434866045 29817215895 47807968875 49695359825 64304598135 107174330225 149086079475 248476799125 321522990675 355818776347 535871651125 745430397375 1067456329041 1607614953375 1779093881735 5337281645205 8895469408675 26686408226025 44477347043375 133432041130125