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138439168 = 297192107
BaseRepresentation
bin10000100000001…
…10101000000000
3100122111102211121
420100012220000
5240420023133
621423122024
73300466510
oct1020065000
9318442747
10138439168
117116643a
123a443314
13228b1a8a
1414559840
15c24902d
hex8406a00

138439168 has 120 divisors (see below), whose sum is σ = 336755232. Its totient is φ = 55683072.

The previous prime is 138439157. The next prime is 138439199. The reversal of 138439168 is 861934831.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293771 + ... + 1293877.

Almost surely, 2138439168 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 138439168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168377616).

138439168 is an abundant number, since it is smaller than the sum of its proper divisors (198316064).

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

138439168 is an equidigital number, since it uses as much as digits as its factorization.

138439168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 138439168 is about 11766.0175080611. The cubic root of 138439168 is about 517.3125249953.

The spelling of 138439168 in words is "one hundred thirty-eight million, four hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 107 112 128 133 152 214 224 256 266 304 361 428 448 512 532 608 722 749 856 896 1064 1216 1444 1498 1712 1792 2033 2128 2432 2527 2888 2996 3424 3584 4066 4256 4864 5054 5776 5992 6848 8132 8512 9728 10108 11552 11984 13696 14231 16264 17024 20216 23104 23968 27392 28462 32528 34048 38627 40432 46208 47936 54784 56924 65056 68096 77254 80864 92416 95872 113848 130112 154508 161728 184832 191744 227696 260224 270389 309016 323456 383488 455392 520448 540778 618032 646912 910784 1040896 1081556 1236064 1293824 1821568 2163112 2472128 3643136 4326224 4944256 7286272 8652448 9888512 17304896 19777024 34609792 69219584 138439168