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135447066136317 = 313191731129935861
BaseRepresentation
bin11110110011000000111010…
…010000110100111011111101
3122202120121112220221020102210
4132303000322100310323331
5120223131042412330232
61200023305001211033
740346504365010145
oct3663007220647375
9582517486836383
10135447066136317
113a180861810a01
1213236670490a79
135a767acc5ac90
14256395c929925
15109d4506ca5cc
hex7b303a434efd

135447066136317 has 64 divisors (see below), whose sum is σ = 206090288812800. Its totient is φ = 78439023544320.

The previous prime is 135447066136309. The next prime is 135447066136321. The reversal of 135447066136317 is 713631660744531.

It is a happy number.

It is not a de Polignac number, because 135447066136317 - 23 = 135447066136309 is a prime.

It is a super-4 number, since 4×1354470661363174 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135447066136117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144261967 + ... + 145197827.

It is an arithmetic number, because the mean of its divisors is an integer number (3220160762700).

Almost surely, 2135447066136317 is an apocalyptic number.

It is an amenable number.

135447066136317 is a deficient number, since it is larger than the sum of its proper divisors (70643222676483).

135447066136317 is a wasteful number, since it uses less digits than its factorization.

135447066136317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937198.

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 135447066136317 in words is "one hundred thirty-five trillion, four hundred forty-seven billion, sixty-six million, one hundred thirty-six thousand, three hundred seventeen".

Divisors: 1 3 13 19 39 57 173 247 519 741 1129 2249 3287 3387 6747 9861 14677 21451 42731 44031 64353 128193 195317 278863 585951 836589 935861 2539121 2807583 3711023 7617363 11133069 12166193 17781359 36498579 48243299 53344077 144729897 161903953 231157667 485711859 693473001 1056587069 2104751389 3076175107 3169761207 6314254167 9228525321 13735631897 20075154311 39990276391 41206895691 60225462933 119970829173 182789562937 260977006043 548368688811 782931018129 2376264318181 3473001695803 7128792954543 10419005087409 45149022045439 135447066136317