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134123808 = 25371321181
BaseRepresentation
bin1111111111010…
…01000100100000
3100100101012021110
413333221010200
5233313430213
621150423320
73216014340
oct777510440
9310335243
10134123808
1169789225
1238b01b40
1321a30800
1413b54d20
15bb955c3
hex7fe9120

134123808 has 144 divisors (see below), whose sum is σ = 436072896. Its totient is φ = 35343360.

The previous prime is 134123807. The next prime is 134123827. The reversal of 134123808 is 808321431.

It is a super-4 number, since 4×1341238084 (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (134123807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112978 + ... + 114158.

It is an arithmetic number, because the mean of its divisors is an integer number (3028284).

Almost surely, 2134123808 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 134123808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218036448).

134123808 is an abundant number, since it is smaller than the sum of its proper divisors (301949088).

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

134123808 is a wasteful number, since it uses less digits than its factorization.

134123808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 134123808 is about 11581.1833592254. The cubic root of 134123808 is about 511.8805466771.

The spelling of 134123808 in words is "one hundred thirty-four million, one hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1181 1183 1248 1352 1456 2028 2184 2362 2366 2704 2912 3543 3549 4056 4368 4724 4732 5408 7086 7098 8112 8267 8736 9448 9464 14172 14196 15353 16224 16534 18896 18928 24801 28344 28392 30706 33068 37792 37856 46059 49602 56688 56784 61412 66136 92118 99204 107471 113376 113568 122824 132272 184236 198408 199589 214942 245648 264544 322413 368472 396816 399178 429884 491296 598767 644826 736944 793632 798356 859768 1197534 1289652 1397123 1473888 1596712 1719536 2395068 2579304 2794246 3193424 3439072 4191369 4790136 5158608 5588492 6386848 8382738 9580272 10317216 11176984 16765476 19160544 22353968 33530952 44707936 67061904 134123808