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138306168 = 23327111319101
BaseRepresentation
bin10000011111001…
…10001001111000
3100122020200101200
420033212021320
5240401244133
621420214200
73266403660
oct1017461170
9318220350
10138306168
1171085520
123a39a360
1322866390
14145231a0
15c21e913
hex83e6278

138306168 has 384 divisors, whose sum is σ = 534643200. Its totient is φ = 31104000.

The previous prime is 138306163. The next prime is 138306197. The reversal of 138306168 is 861603831.

138306168 is a `hidden beast` number, since 1 + 3 + 8 + 30 + 616 + 8 = 666.

It is a super-2 number, since 2×1383061682 = 38257192213688448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138306163) 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 95 ways as a sum of consecutive naturals, for example, 1369318 + ... + 1369418.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2138306168 is an apocalyptic number.

138306168 is a gapful number since it is divisible by the number (18) 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 138306168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

138306168 is an abundant number, since it is smaller than the sum of its proper divisors (396337032).

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

138306168 is a wasteful number, since it uses less digits than its factorization.

138306168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138306168 is about 11760.3642800723. The cubic root of 138306168 is about 517.1468093439.

Adding to 138306168 its reverse (861603831), we get a palindrome (999909999).

The spelling of 138306168 in words is "one hundred thirty-eight million, three hundred six thousand, one hundred sixty-eight".