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134741664 = 2533277563
BaseRepresentation
bin10000000011111…
…11111010100000
3100101112120211000
420001333322200
5233443213124
621211552000
73224166561
oct1001777240
9311476730
10134741664
116a070452
123915b600
1321bb8ac5
1413c76168
15bc686c9
hex807fea0

134741664 has 96 divisors (see below), whose sum is σ = 395115840. Its totient is φ = 44672256.

The previous prime is 134741653. The next prime is 134741671. The reversal of 134741664 is 466147431.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239047 + ... + 239609.

It is an arithmetic number, because the mean of its divisors is an integer number (4115790).

Almost surely, 2134741664 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 134741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197557920).

134741664 is an abundant number, since it is smaller than the sum of its proper divisors (260374176).

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

134741664 is a wasteful number, since it uses less digits than its factorization.

134741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 134741664 is about 11607.8277037523. The cubic root of 134741664 is about 512.6653540603.

The spelling of 134741664 in words is "one hundred thirty-four million, seven hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 277 288 432 554 563 831 864 1108 1126 1662 1689 2216 2252 2493 3324 3378 4432 4504 4986 5067 6648 6756 7479 8864 9008 9972 10134 13296 13512 14958 15201 18016 19944 20268 26592 27024 29916 30402 39888 40536 54048 59832 60804 79776 81072 119664 121608 155951 162144 239328 243216 311902 467853 486432 623804 935706 1247608 1403559 1871412 2495216 2807118 3742824 4210677 4990432 5614236 7485648 8421354 11228472 14971296 16842708 22456944 33685416 44913888 67370832 134741664