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138857208 = 23375914009
BaseRepresentation
bin10000100011011…
…00101011111000
3100200021200021120
420101230223320
5241021412313
621440105240
73304160340
oct1021545370
9320250246
10138857208
1171421526
123a605220
13229ca139
1414627d20
15c2ccd23
hex846caf8

138857208 has 64 divisors (see below), whose sum is σ = 403488000. Its totient is φ = 38998272.

The previous prime is 138857203. The next prime is 138857333. The reversal of 138857208 is 802758831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 138857208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138857203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2908 + ... + 16916.

It is an arithmetic number, because the mean of its divisors is an integer number (6304500).

Almost surely, 2138857208 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 138857208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201744000).

138857208 is an abundant number, since it is smaller than the sum of its proper divisors (264630792).

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

138857208 is a wasteful number, since it uses less digits than its factorization.

138857208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14084 (or 14080 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 138857208 is about 11783.7688368365. The cubic root of 138857208 is about 517.8327053762.

The spelling of 138857208 in words is "one hundred thirty-eight million, eight hundred fifty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 14009 28018 42027 56036 84054 98063 112072 168108 196126 294189 336216 392252 588378 784504 826531 1176756 1653062 2353512 2479593 3306124 4959186 5785717 6612248 9918372 11571434 17357151 19836744 23142868 34714302 46285736 69428604 138857208