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134223840 = 25325175483
BaseRepresentation
bin10000000000000…
…01011111100000
3100100120021111100
420000001133200
5233330130330
621152514400
73216612102
oct1000013740
9310507440
10134223840
11698473a3
1238b4ba00
1321a671ba
1413b7d572
15bbb5060
hex80017e0

134223840 has 144 divisors (see below), whose sum is σ = 485070768. Its totient is φ = 33681408.

The previous prime is 134223833. The next prime is 134223871. The reversal of 134223840 is 48322431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21739 + ... + 27221.

It is an arithmetic number, because the mean of its divisors is an integer number (3368547).

Almost surely, 2134223840 is an apocalyptic number.

134223840 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 134223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242535384).

134223840 is an abundant number, since it is smaller than the sum of its proper divisors (350846928).

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

134223840 is a wasteful number, since it uses less digits than its factorization.

134223840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134223840 is about 11585.5012839324. The cubic root of 134223840 is about 512.0077716919.

The spelling of 134223840 in words is "one hundred thirty-four million, two hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 5483 6120 8160 10966 12240 16449 21932 24480 27415 32898 43864 49347 54830 65796 82245 87728 93211 98694 109660 131592 164490 175456 186422 197388 219320 246735 263184 279633 328980 372844 394776 438640 466055 493470 526368 559266 657960 745688 789552 838899 877280 932110 986940 1118532 1315920 1398165 1491376 1579104 1677798 1864220 1973880 2237064 2631840 2796330 2982752 3355596 3728440 3947760 4194495 4474128 5592660 6711192 7456880 7895520 8388990 8948256 11185320 13422384 14913760 16777980 22370640 26844768 33555960 44741280 67111920 134223840