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134182656 = 2836719
BaseRepresentation
bin1111111111101…
…11011100000000
3100100111012000000
413333313130000
5233322321111
621152000000
73216351036
oct777673400
9310435000
10134182656
1169819463
1238b30000
1321a5152a
1413b6c556
15bba7c56
hex7ff7700

134182656 has 126 divisors (see below), whose sum is σ = 402136560. Its totient is φ = 44665344.

The previous prime is 134182637. The next prime is 134182679. The reversal of 134182656 is 656281431.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134182656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186265 + ... + 186983.

It is an arithmetic number, because the mean of its divisors is an integer number (3191560).

Almost surely, 2134182656 is an apocalyptic number.

134182656 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 134182656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201068280).

134182656 is an abundant number, since it is smaller than the sum of its proper divisors (267953904).

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

134182656 is an frugal number, since it uses more digits than its factorization.

134182656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 724 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 134182656 is about 11583.7237536122. The cubic root of 134182656 is about 511.9553997608.

The spelling of 134182656 in words is "one hundred thirty-four million, one hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 719 729 768 864 972 1152 1296 1438 1458 1728 1944 2157 2304 2592 2876 2916 3456 3888 4314 5184 5752 5832 6471 6912 7776 8628 10368 11504 11664 12942 15552 17256 19413 20736 23008 23328 25884 31104 34512 38826 46016 46656 51768 58239 62208 69024 77652 92032 93312 103536 116478 138048 155304 174717 184064 186624 207072 232956 276096 310608 349434 414144 465912 524151 552192 621216 698868 828288 931824 1048302 1242432 1397736 1656576 1863648 2096604 2484864 2795472 3727296 4193208 4969728 5590944 7454592 8386416 11181888 14909184 16772832 22363776 33545664 44727552 67091328 134182656