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134976513747080 = 235192333012339221
BaseRepresentation
bin11110101100001010101011…
…001001111010100010001000
3122200220121222022121010222202
4132230022223021322202020
5120142423400004401310
61155023204314335332
740300505560464215
oct3654125311724210
9580817868533882
10134976513747080
113a00a2441a8305
121317b42942a548
135a412cc909475
142548c8063cb0c
1510910aee5a3a5
hex7ac2ab27a888

134976513747080 has 128 divisors (see below), whose sum is σ = 333681597100800. Its totient is φ = 48910283136000.

The previous prime is 134976513747071. The next prime is 134976513747121. The reversal of 134976513747080 is 80747315679431.

It is a super-3 number, since 3×1349765137470803 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134976513746998 and 134976513747016.

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, 56531870 + ... + 58871090.

It is an arithmetic number, because the mean of its divisors is an integer number (2606887477350).

Almost surely, 2134976513747080 is an apocalyptic number.

134976513747080 is a gapful number since it is divisible by the number (10) 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 134976513747080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166840798550400).

134976513747080 is an abundant number, since it is smaller than the sum of its proper divisors (198705083353720).

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

134976513747080 is a wasteful number, since it uses less digits than its factorization.

134976513747080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342575 (or 2342571 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 65.

The spelling of 134976513747080 in words is "one hundred thirty-four trillion, nine hundred seventy-six billion, five hundred thirteen million, seven hundred forty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 760 874 920 1748 2185 3301 3496 4370 6602 8740 13204 16505 17480 26408 33010 62719 66020 75923 125438 132040 151846 250876 303692 313595 379615 501752 607384 627190 759230 1254380 1442537 1518460 2339221 2508760 2885074 3036920 4678442 5770148 7212685 9356884 11540296 11696105 14425370 18713768 23392210 28850740 44445199 46784420 53802083 57701480 88890398 93568840 107604166 177780796 215208332 222225995 269010415 355561592 430416664 444451990 538020830 888903980 1022239577 1076041660 1777807960 2044479154 2152083320 4088958308 5111197885 7721768521 8177916616 10222395770 15443537042 20444791540 30887074084 38608842605 40889583080 61774148168 77217685210 146713601899 154435370420 177600675983 293427203798 308870740840 355201351966 586854407596 710402703932 733568009495 888003379915 1173708815192 1420805407864 1467136018990 1776006759830 2934272037980 3374412843677 3552013519660 5868544075960 6748825687354 7104027039320 13497651374708 16872064218385 26995302749416 33744128436770 67488256873540 134976513747080