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134981054976 = 2931733531439
BaseRepresentation
bin111110110110101111…
…1110111001000000000
3110220102001200001111110
41331231133313020000
54202420122224401
6142002012243320
712515646015345
oct1755537671000
9426361601443
10134981054976
1152277317499
12221b0a70540
13c961b2c241
146766c387cc
1537a02c69d6
hex1f6d7f7200

134981054976 has 160 divisors (see below), whose sum is σ = 362953198080. Its totient is φ = 44575883264.

The previous prime is 134981054959. The next prime is 134981054981. The reversal of 134981054976 is 679450189431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93801265 + ... + 93802703.

It is an arithmetic number, because the mean of its divisors is an integer number (2268457488).

Almost surely, 2134981054976 is an apocalyptic number.

134981054976 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 134981054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181476599040).

134981054976 is an abundant number, since it is smaller than the sum of its proper divisors (227972143104).

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

134981054976 is a wasteful number, since it uses less digits than its factorization.

134981054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 134981054976 in words is "one hundred thirty-four billion, nine hundred eighty-one million, fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 353 384 512 519 692 706 768 1038 1059 1384 1412 1439 1536 2076 2118 2768 2824 2878 4152 4236 4317 5536 5648 5756 8304 8472 8634 11072 11296 11512 16608 16944 17268 22144 22592 23024 33216 33888 34536 44288 45184 46048 61069 66432 67776 69072 88576 90368 92096 122138 132864 135552 138144 180736 183207 184192 244276 248947 265728 271104 276288 366414 368384 488552 497894 507967 542208 552576 732828 736768 746841 977104 995788 1015934 1105152 1465656 1493682 1523901 1954208 1991576 2031868 2210304 2931312 2987364 3047802 3908416 3983152 4063736 5862624 5974728 6095604 7816832 7966304 8127472 11725248 11949456 12191208 15633664 15932608 16254944 23450496 23898912 24382416 31267328 31865216 32509888 46900992 47797824 48764832 63730432 65019776 87878291 93801984 95595648 97529664 127460864 130039552 175756582 191191296 195059328 260079104 263634873 351513164 382382592 390118656 527269746 703026328 780237312 1054539492 1406052656 2109078984 2812105312 4218157968 5624210624 8436315936 11248421248 16872631872 22496842496 33745263744 44993684992 67490527488 134981054976