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134996160816 = 243311269105607
BaseRepresentation
bin111110110111001100…
…1011111000100110000
3110220110010002111211000
41331232121133010300
54202433004121231
6142003312122000
712516221301606
oct1755631370460
9426403074730
10134996160816
11522848a4760
12221b5b36300
13c964cbaaca
146768c4b876
1537a17ac6e6
hex1f6e65f130

134996160816 has 160 divisors (see below), whose sum is σ = 424290700800. Its totient is φ = 40755467520.

The previous prime is 134996160787. The next prime is 134996160833. The reversal of 134996160816 is 618061699431.

It is a happy number.

134996160816 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 9 + 616 + 0 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225485 + ... + 1331091.

It is an arithmetic number, because the mean of its divisors is an integer number (2651816880).

Almost surely, 2134996160816 is an apocalyptic number.

134996160816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134996160816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212145350400).

134996160816 is an abundant number, since it is smaller than the sum of its proper divisors (289294539984).

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

134996160816 is a wasteful number, since it uses less digits than its factorization.

134996160816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105904 (or 105892 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 134996160816 in words is "one hundred thirty-four billion, nine hundred ninety-six million, one hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 269 297 396 432 528 538 594 792 807 1076 1188 1584 1614 2152 2376 2421 2959 3228 4304 4752 4842 5918 6456 7263 8877 9684 11836 12912 14526 17754 19368 23672 26631 29052 35508 38736 47344 53262 58104 71016 79893 105607 106524 116208 142032 159786 211214 213048 316821 319572 422428 426096 633642 639144 844856 950463 1161677 1267284 1278288 1689712 1900926 2323354 2534568 2851389 3485031 3801852 4646708 5069136 5702778 6970062 7603704 9293416 10455093 11405556 13940124 15207408 18586832 20910186 22811112 27880248 28408283 31365279 41820372 45622224 55760496 56816566 62730558 83640744 85224849 113633132 125461116 167281488 170449698 227266264 250922232 255674547 312491113 340899396 454532528 501844464 511349094 624982226 681798792 767023641 937473339 1022698188 1249964452 1363597584 1534047282 1874946678 2045396376 2499928904 2812420017 3068094564 3749893356 4090792752 4999857808 5624840034 6136189128 7499786712 8437260051 11249680068 12272378256 14999573424 16874520102 22499360136 33749040204 44998720272 67498080408 134996160816