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138345012 = 223213487607
BaseRepresentation
bin10000011111011…
…11101000110100
3100122022122200100
420033233220310
5240404020022
621421114100
73266625141
oct1017575064
9318278610
10138345012
1171101723
123a3b8930
132287ac70
14145333c8
15c22b1ac
hex83efa34

138345012 has 72 divisors (see below), whose sum is σ = 378000896. Its totient is φ = 42410304.

The previous prime is 138344959. The next prime is 138345013. The reversal of 138345012 is 210543831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138345013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227613 + ... + 228219.

Almost surely, 2138345012 is an apocalyptic number.

138345012 is a gapful number since it is divisible by the number (12) 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 138345012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189000448).

138345012 is an abundant number, since it is smaller than the sum of its proper divisors (239655884).

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

138345012 is a wasteful number, since it uses less digits than its factorization.

138345012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138345012 is about 11762.0156435876. The cubic root of 138345012 is about 517.1952192609.

Adding to 138345012 its reverse (210543831), we get a palindrome (348888843).

The spelling of 138345012 in words is "one hundred thirty-eight million, three hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 487 607 974 1214 1461 1821 1948 2428 2922 3642 4383 5463 5844 6331 7284 7891 8766 10926 12662 15782 17532 18993 21852 23673 25324 31564 37986 47346 56979 71019 75972 94692 113958 142038 227916 284076 295609 591218 886827 1182436 1773654 2660481 3547308 3842917 5320962 7685834 10641924 11528751 15371668 23057502 34586253 46115004 69172506 138345012