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138103168 = 277297227
BaseRepresentation
bin10000011101101…
…00100110000000
3100121212100221011
420032310212000
5240323300133
621412010304
73264600100
oct1016644600
9317770834
10138103168
1170a56a55
123a300994
13227c4b68
14144ad200
15c1ce6cd
hex83b4980

138103168 has 96 divisors (see below), whose sum is σ = 324770040. Its totient is φ = 58318848.

The previous prime is 138103157. The next prime is 138103193. The reversal of 138103168 is 861301831.

It is a congruent number.

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, 608271 + ... + 608497.

Almost surely, 2138103168 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 138103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162385020).

138103168 is an abundant number, since it is smaller than the sum of its proper divisors (186666872).

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

138103168 is an equidigital number, since it uses as much as digits as its factorization.

138103168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 138103168 is about 11751.7304257713. The cubic root of 138103168 is about 516.8936699795.

Adding to 138103168 its reverse (861301831), we get a palindrome (999404999).

The spelling of 138103168 in words is "one hundred thirty-eight million, one hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 97 98 112 128 194 196 224 227 388 392 448 454 679 776 784 896 908 1358 1552 1568 1589 1816 2716 3104 3136 3178 3632 4753 5432 6208 6272 6356 7264 9506 10864 11123 12416 12712 14528 19012 21728 22019 22246 25424 29056 38024 43456 44038 44492 50848 76048 86912 88076 88984 101696 152096 154133 176152 177968 203392 304192 308266 352304 355936 608384 616532 704608 711872 1078931 1233064 1409216 1423744 2157862 2466128 2818432 4315724 4932256 8631448 9864512 17262896 19729024 34525792 69051584 138103168