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138587008 = 2771371129
BaseRepresentation
bin10000100001010…
…10101110000000
3100122202221122011
420100222232000
5240434241013
621430222304
73301653520
oct1020525600
9318687564
10138587008
117125751a
123a4b4994
1322934161
1414597680
15c277c3d
hex842ab80

138587008 has 64 divisors (see below), whose sum is σ = 318117600. Its totient is φ = 58908672.

The previous prime is 138587003. The next prime is 138587023. The reversal of 138587008 is 800785831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138587003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122188 + ... + 123316.

Almost surely, 2138587008 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 138587008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159058800).

138587008 is an abundant number, since it is smaller than the sum of its proper divisors (179530592).

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

138587008 is a wasteful number, since it uses less digits than its factorization.

138587008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 138587008 is about 11772.2983312521. The cubic root of 138587008 is about 517.4966065108.

The spelling of 138587008 in words is "one hundred thirty-eight million, five hundred eighty-seven thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 274 448 548 896 959 1096 1129 1918 2192 2258 3836 4384 4516 7672 7903 8768 9032 15344 15806 17536 18064 30688 31612 36128 61376 63224 72256 122752 126448 144512 154673 252896 309346 505792 618692 1011584 1082711 1237384 2165422 2474768 4330844 4949536 8661688 9899072 17323376 19798144 34646752 69293504 138587008