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134876544 = 2731137863
BaseRepresentation
bin10000000101000…
…00110110000000
3100101210102211120
420002200312000
5234012022134
621214512240
73225301035
oct1002406600
9311712746
10134876544
116a152820
1239205680
1321c3530a
1413cad38c
15bc93649
hex80a0d80

134876544 has 128 divisors (see below), whose sum is σ = 401863680. Its totient is φ = 39720960.

The previous prime is 134876527. The next prime is 134876557. The reversal of 134876544 is 445678431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 134876496 and 134876505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155857 + ... + 156719.

It is an arithmetic number, because the mean of its divisors is an integer number (3139560).

Almost surely, 2134876544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134876544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200931840).

134876544 is an abundant number, since it is smaller than the sum of its proper divisors (266987136).

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

134876544 is a wasteful number, since it uses less digits than its factorization.

134876544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 134876544 is about 11613.6361231098. The cubic root of 134876544 is about 512.8363609106.

It can be divided in two parts, 134 and 876544, that added together give a palindrome (876678).

The spelling of 134876544 in words is "one hundred thirty-four million, eight hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 863 888 1056 1184 1221 1408 1628 1726 1776 2112 2368 2442 2589 3256 3452 3552 4224 4736 4884 5178 6512 6904 7104 9493 9768 10356 13024 13808 14208 18986 19536 20712 26048 27616 28479 31931 37972 39072 41424 52096 55232 56958 63862 75944 78144 82848 95793 110464 113916 127724 151888 156288 165696 191586 227832 255448 303776 331392 351241 383172 455664 510896 607552 702482 766344 911328 1021792 1053723 1215104 1404964 1532688 1822656 2043584 2107446 2809928 3065376 3645312 4087168 4214892 5619856 6130752 8429784 11239712 12261504 16859568 22479424 33719136 44958848 67438272 134876544