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134681344562519 = 237911313931315077
BaseRepresentation
bin11110100111110111110001…
…101100110101010101010111
3122122212102002110200222012222
4132213313301230311111113
5120123104343202000034
61154235431110332555
740240256162014556
oct3647676154652527
9578772073628188
10134681344562519
1139a06045963167
121313219195a15b
135a1c51c881341
14253887cd1bd9d
15108858693412e
hex7a7df1b35557

134681344562519 has 64 divisors (see below), whose sum is σ = 145079985254400. Its totient is φ = 124754182705152.

The previous prime is 134681344562489. The next prime is 134681344562533. The reversal of 134681344562519 is 915265443186431.

It is a de Polignac number, because none of the positive numbers 2k-134681344562519 is a prime.

It is a super-3 number, since 3×1346813445625193 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134681344562419) 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, 8932893209 + ... + 8932908285.

It is an arithmetic number, because the mean of its divisors is an integer number (2266874769600).

Almost surely, 2134681344562519 is an apocalyptic number.

134681344562519 is a deficient number, since it is larger than the sum of its proper divisors (10398640691881).

134681344562519 is a wasteful number, since it uses less digits than its factorization.

134681344562519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15744.

The product of its digits is 74649600, while the sum is 62.

The spelling of 134681344562519 in words is "one hundred thirty-four trillion, six hundred eighty-one billion, three hundred forty-four million, five hundred sixty-two thousand, five hundred nineteen".

Divisors: 1 23 79 113 139 313 1817 2599 3197 7199 8927 10981 15077 15707 24727 35369 43507 205321 252563 346771 361261 568721 813487 1000661 1191083 1240853 1703701 2095703 2794151 3437053 4719101 4916291 27394909 28539619 39185123 48201169 64265473 79052219 108539323 113074693 134592379 165560537 236814439 372808979 388386989 533258413 655955039 3095624717 3807892351 5446732097 8574606517 8932900747 12264943499 15086965897 18708340681 42127414627 51820448081 74122919407 430291835663 968930536421 1191870305863 1704827146361 5855710633153 134681344562519