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138137868 = 223211348833
BaseRepresentation
bin10000011101111…
…01000100001100
3100121221010112100
420032331010030
5240330402433
621412435100
73265103211
oct1016750414
9317833470
10138137868
1170a80030
123a318a90
13228078ab
14144bbb08
15c1d9b13
hex83bd10c

138137868 has 36 divisors (see below), whose sum is σ = 380926728. Its totient is φ = 41859840.

The previous prime is 138137861. The next prime is 138137873. The reversal of 138137868 is 868731831.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (138137861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174021 + ... + 174812.

It is an arithmetic number, because the mean of its divisors is an integer number (10581298).

Almost surely, 2138137868 is an apocalyptic number.

138137868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138137868 is an abundant number, since it is smaller than the sum of its proper divisors (242788860).

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

138137868 is a wasteful number, since it uses less digits than its factorization.

138137868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348854 (or 348849 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 138137868 is about 11753.2067113618. The cubic root of 138137868 is about 516.9369581691.

The spelling of 138137868 in words is "one hundred thirty-eight million, one hundred thirty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 348833 697666 1046499 1395332 2092998 3139497 3837163 4185996 6278994 7674326 11511489 12557988 15348652 23022978 34534467 46045956 69068934 138137868