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135614156152134 = 231141711195359053
BaseRepresentation
bin11110110101011100100001…
…100110101001110101000110
3122210011120211201021111201010
4132311130201212221311012
5120233400242433332014
61200232141104143050
740364541132502332
oct3665344146516506
9583146751244633
10135614156152134
113a23570576a970
1213262b22607a86
135a8948b059a1a
14256ba8dd0c7c2
1510a297e813359
hex7b57219a9d46

135614156152134 has 128 divisors (see below), whose sum is σ = 307402114231296. Its totient is φ = 39524212224000.

The previous prime is 135614156152121. The next prime is 135614156152141. The reversal of 135614156152134 is 431251651416531.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2296452552 + ... + 2296511604.

It is an arithmetic number, because the mean of its divisors is an integer number (2401579017432).

Almost surely, 2135614156152134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135614156152134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153701057115648).

135614156152134 is an abundant number, since it is smaller than the sum of its proper divisors (171787958079162).

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

135614156152134 is a wasteful number, since it uses less digits than its factorization.

135614156152134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71134.

The product of its digits is 1296000, while the sum is 48.

The spelling of 135614156152134 in words is "one hundred thirty-five trillion, six hundred fourteen billion, one hundred fifty-six million, one hundred fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 71 82 123 142 213 246 426 451 781 902 1353 1562 2343 2706 2911 4686 5822 8733 11953 17466 23906 32021 35859 59053 64042 71718 96063 118106 131483 177159 192126 262966 354318 394449 490073 649583 788898 848663 980146 1299166 1470219 1697326 1948749 2421173 2545989 2940438 3897498 4192763 4842346 5091978 5390803 7263519 8385526 9335293 10781606 12578289 14527038 16172409 18670586 25156578 26632903 28005879 32344818 34795183 46120393 53265806 56011758 69590366 79898709 92240786 104385549 138361179 159797418 171903283 208771098 276722358 343806566 382747013 515709849 705860509 765494026 1031419698 1148241039 1411721018 1890936113 2117581527 2296482078 3781872226 4235163054 5672808339 7764465599 11345616678 15528931198 23293396797 28940280869 46586793594 50116096139 57880561738 86820842607 100232192278 150348288417 173641685214 300696576834 318343089559 551277057529 636686179118 955029268677 1102554115058 1653831172587 1910058537354 2054759941699 3307662345174 4109519883398 6164279825097 12328559650194 22602359358689 45204718717378 67807078076067 135614156152134