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134379648 = 273413997
BaseRepresentation
bin10000000001001…
…11100010000000
3100100212012020000
420000213202000
5233400122043
621200120000
73221131254
oct1000474200
9310765200
10134379648
1169943467
1239006000
1321ac00b0
1413bc0264
15bbe62d3
hex8027880

134379648 has 160 divisors (see below), whose sum is σ = 431106060. Its totient is φ = 41306112.

The previous prime is 134379643. The next prime is 134379667. The reversal of 134379648 is 846973431.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 5184 = 11592^2 + 72^2 .

It is not an unprimeable number, because it can be changed into a prime (134379643) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 134286 + ... + 135282.

Almost surely, 2134379648 is an apocalyptic number.

134379648 is a gapful number since it is divisible by the number (18) 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 134379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215553030).

134379648 is an abundant number, since it is smaller than the sum of its proper divisors (296726412).

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

134379648 is an equidigital number, since it uses as much as digits as its factorization.

134379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1015 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 134379648 is about 11592.2236003279. The cubic root of 134379648 is about 512.2058091867.

The spelling of 134379648 in words is "one hundred thirty-four million, three hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 997 1053 1152 1248 1296 1404 1664 1728 1872 1994 2106 2496 2592 2808 2991 3456 3744 3988 4212 4992 5184 5616 5982 7488 7976 8424 8973 10368 11232 11964 12961 14976 15952 16848 17946 22464 23928 25922 26919 31904 33696 35892 38883 44928 47856 51844 53838 63808 67392 71784 77766 80757 95712 103688 107676 116649 127616 134784 143568 155532 161514 191424 207376 215352 233298 287136 311064 323028 349947 382848 414752 430704 466596 574272 622128 646056 699894 829504 861408 933192 1049841 1148544 1244256 1292112 1399788 1659008 1722816 1866384 2099682 2488512 2584224 2799576 3445632 3732768 4199364 4977024 5168448 5599152 7465536 8398728 10336896 11198304 14931072 16797456 22396608 33594912 44793216 67189824 134379648