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134325399120 = 24351159862387
BaseRepresentation
bin111110100011001101…
…0101110111001010000
3110211201100221021202020
41331012122232321100
54200044300232440
6141412551251440
712463465024263
oct1750632567120
9424640837666
10134325399120
1151a70205550
1222049379b80
13c889047ab3
146703b24cda
1537629633d0
hex1f466aee50

134325399120 has 160 divisors (see below), whose sum is σ = 461964003840. Its totient is φ = 32011768320.

The previous prime is 134325399097. The next prime is 134325399133. The reversal of 134325399120 is 21993523431.

134325399120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 275434 + ... + 586953.

It is an arithmetic number, because the mean of its divisors is an integer number (2887275024).

Almost surely, 2134325399120 is an apocalyptic number.

134325399120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134325399120 is an abundant number, since it is smaller than the sum of its proper divisors (327638604720).

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

134325399120 is a wasteful number, since it uses less digits than its factorization.

134325399120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862473 (or 862467 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 134325399120 in words is "one hundred thirty-four billion, three hundred twenty-five million, three hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 59 60 66 80 88 110 118 120 132 165 176 177 220 236 240 264 295 330 354 440 472 528 590 649 660 708 880 885 944 1180 1298 1320 1416 1770 1947 2360 2596 2640 2832 3245 3540 3894 4720 5192 6490 7080 7788 9735 10384 12980 14160 15576 19470 25960 31152 38940 51920 77880 155760 862387 1724774 2587161 3449548 4311935 5174322 6899096 8623870 9486257 10348644 12935805 13798192 17247740 18972514 20697288 25871610 28458771 34495480 37945028 41394576 47431285 50880833 51743220 56917542 68990960 75890056 94862570 101761666 103486440 113835084 142293855 151780112 152642499 189725140 203523332 206972880 227670168 254404165 284587710 305284998 379450280 407046664 455340336 508808330 559689163 569175420 610569996 758900560 763212495 814093328 1017616660 1119378326 1138350840 1221139992 1526424990 1679067489 2035233320 2238756652 2276701680 2442279984 2798445815 3052849980 3358134978 4070466640 4477513304 5596891630 6105699960 6716269956 8395337445 8955026608 11193783260 12211399920 13432539912 16790674890 22387566520 26865079824 33581349780 44775133040 67162699560 134325399120