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131376146373612 = 22327896724787107
BaseRepresentation
bin11101110111110001100100…
…100010010101101111101100
3122020011102210112012022101200
4131313301210202111233230
5114204431321432423422
61143225211330405500
736446420243655330
oct3567614442255754
9566142715168350
10131376146373612
11389513467279a8
12128996b1730890
13583c9432c211a
1424628d47917c0
15102c5dd4cc2ac
hex777c64895bec

131376146373612 has 144 divisors (see below), whose sum is σ = 383805597127680. Its totient is φ = 37113310561536.

The previous prime is 131376146373503. The next prime is 131376146373761. The reversal of 131376146373612 is 216373641673131.

131376146373612 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 6 + 14 + 6 + 3 + 7 + 3 + 612 = 666.

131376146373612 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1508172163 + ... + 1508259269.

It is an arithmetic number, because the mean of its divisors is an integer number (2665316646720).

Almost surely, 2131376146373612 is an apocalyptic number.

131376146373612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131376146373612 is an abundant number, since it is smaller than the sum of its proper divisors (252429450754068).

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

131376146373612 is a wasteful number, since it uses less digits than its factorization.

131376146373612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154460 (or 154455 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 131376146373612 in words is "one hundred thirty-one trillion, three hundred seventy-six billion, one hundred forty-six million, three hundred seventy-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 356 534 623 801 1068 1246 1602 1869 2492 3204 3738 5607 7476 11214 22428 67247 87107 134494 174214 201741 261321 268988 348428 403482 470729 522642 605223 609749 783963 806964 941458 1045284 1210446 1219498 1412187 1567926 1829247 1882916 2420892 2438996 2824374 3135852 3658494 4236561 5487741 5648748 5984983 7316988 7752523 8473122 10975482 11969966 15505046 16946244 17954949 21950964 23257569 23939932 31010092 35909898 41894881 46515138 53864847 54267661 69772707 71819796 83789762 93030276 107729694 108535322 125684643 139545414 162802983 167579524 215459388 217070644 251369286 279090828 325605966 377053929 488408949 502738572 651211932 754107858 976817898 1508215716 1953635796 5857684429 11715368858 17573053287 23430737716 35146106574 41003791003 52719159861 70292213148 82007582006 105438319722 123011373009 164015164012 210876639444 246022746018 369034119027 492045492036 521333914181 738068238054 1042667828362 1476136476108 1564001742543 2085335656724 3128003485086 3649337399267 4692005227629 6256006970172 7298674798534 9384010455258 10948012197801 14597349597068 18768020910516 21896024395602 32844036593403 43792048791204 65688073186806 131376146373612