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134178480 = 243251571187
BaseRepresentation
bin1111111111101…
…10011010110000
3100100110222021100
413333312122300
5233322202410
621151524400
73216332622
oct777663260
9310428240
10134178480
1169816307
1238b29700
1321a4c667
1413b6ac12
15bba68c0
hex7ff66b0

134178480 has 120 divisors (see below), whose sum is σ = 453868272. Its totient is φ = 35523072.

The previous prime is 134178461. The next prime is 134178521. The reversal of 134178480 is 84871431.

134178480 is a `hidden beast` number, since 1 + 3 + 4 + 178 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1341784802 = 36007728990220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 112447 + ... + 113633.

Almost surely, 2134178480 is an apocalyptic number.

134178480 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 134178480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226934136).

134178480 is an abundant number, since it is smaller than the sum of its proper divisors (319689792).

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

134178480 is a wasteful number, since it uses less digits than its factorization.

134178480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 134178480 is about 11583.5434992924. The cubic root of 134178480 is about 511.9500887219.

The spelling of 134178480 in words is "one hundred thirty-four million, one hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 180 240 314 360 471 628 720 785 942 1187 1256 1413 1570 1884 2355 2374 2512 2826 3140 3561 3768 4710 4748 5652 5935 6280 7065 7122 7536 9420 9496 10683 11304 11870 12560 14130 14244 17805 18840 18992 21366 22608 23740 28260 28488 35610 37680 42732 47480 53415 56520 56976 71220 85464 94960 106830 113040 142440 170928 186359 213660 284880 372718 427320 559077 745436 854640 931795 1118154 1490872 1677231 1863590 2236308 2795385 2981744 3354462 3727180 4472616 5590770 6708924 7454360 8386155 8945232 11181540 13417848 14908720 16772310 22363080 26835696 33544620 44726160 67089240 134178480