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135684102081374 = 271131331601142871
BaseRepresentation
bin11110110110011101101010…
…101101001100101101011110
3122210102021101100212212102222
4132312131222231030231132
5120241022020113100444
61200324225504145342
740402565352211310
oct3666355255145536
9583367340785388
10135684102081374
113a262339390860
12132745a3308252
135a92c57222132
14257120768b7b0
1510a46c52e2eee
hex7b676ab4cb5e

135684102081374 has 128 divisors (see below), whose sum is σ = 263162598064128. Its totient is φ = 50918868000000.

The previous prime is 135684102081329. The next prime is 135684102081379. The reversal of 135684102081374 is 473180201486531.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135684102081379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 949625159 + ... + 949768029.

It is an arithmetic number, because the mean of its divisors is an integer number (2055957797376).

Almost surely, 2135684102081374 is an apocalyptic number.

135684102081374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

135684102081374 is a deficient number, since it is larger than the sum of its proper divisors (127478495982754).

135684102081374 is a wasteful number, since it uses less digits than its factorization.

135684102081374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143854.

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 135684102081374 in words is "one hundred thirty-five trillion, six hundred eighty-four billion, one hundred two million, eighty-one thousand, three hundred seventy-four".

Divisors: 1 2 7 11 14 22 31 62 77 154 217 331 341 434 601 662 682 1202 2317 2387 3641 4207 4634 4774 6611 7282 8414 10261 13222 18631 20522 25487 37262 46277 50974 71827 92554 112871 130417 142871 143654 198931 204941 225742 260834 285742 397862 409882 790097 1000097 1392517 1434587 1571581 1580194 2000194 2188241 2785034 2869174 3143162 4376482 4429001 6166861 8858002 11001067 12333722 15317687 22002134 30635374 31003007 43168027 47290301 48719011 62006014 67835471 85865471 86336054 94580602 97438022 135670942 171730942 331032107 341033077 474848297 520193311 601058297 662064214 682066154 944520181 949696594 1040386622 1202116594 1465999331 1889040362 2661829601 2931998662 3641353177 5323659202 6611641267 7282706354 10261995317 13223282534 16125992641 18632807207 20523990634 28421470901 29280125611 32251985282 37265614414 56842941802 58560251222 112881948487 198950296307 204960879277 225763896974 312636179911 397900592614 409921758554 625272359822 881065597931 1762131195862 2188453259377 4376906518754 6167459185517 9691721577241 12334918371034 19383443154482 67842051040687 135684102081374