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138438664 = 23713397479
BaseRepresentation
bin10000100000001…
…10100000001000
3100122111102010221
420100012200020
5240420014124
621423115424
73300465160
oct1020064010
9318442127
10138438664
1171166021
123a442b74
13228b1790
14145595a0
15c248ce4
hex8406808

138438664 has 64 divisors (see below), whose sum is σ = 320947200. Its totient is φ = 54514944.

The previous prime is 138438661. The next prime is 138438689. The reversal of 138438664 is 466834831.

It is a self number, because there is not a number n which added to its sum of digits gives 138438664.

It is not an unprimeable number, because it can be changed into a prime (138438661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288777 + ... + 289255.

It is an arithmetic number, because the mean of its divisors is an integer number (5014800).

Almost surely, 2138438664 is an apocalyptic number.

138438664 is a gapful number since it is divisible by the number (14) 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 138438664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160473600).

138438664 is an abundant number, since it is smaller than the sum of its proper divisors (182508536).

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

138438664 is a wasteful number, since it uses less digits than its factorization.

138438664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 898 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 138438664 is about 11765.9960904294. The cubic root of 138438664 is about 517.3118972206.

The spelling of 138438664 in words is "one hundred thirty-eight million, four hundred thirty-eight thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 397 479 728 794 958 1588 1916 2779 3176 3353 3832 5161 5558 6227 6706 10322 11116 12454 13412 20644 22232 24908 26824 36127 41288 43589 49816 72254 87178 144508 174356 190163 289016 348712 380326 760652 1331141 1521304 2472119 2662282 4944238 5324564 9888476 10649128 17304833 19776952 34609666 69219332 138438664