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138216608 = 25371071091
BaseRepresentation
bin10000011110100…
…00010010100000
3100122002010112122
420033100102200
5240340412413
621414243412
73265551605
oct1017202240
9318063478
10138216608
1171024202
123a356568
132283469a
14144dc6ac
15c203108
hex83d04a0

138216608 has 48 divisors (see below), whose sum is σ = 282338784. Its totient is φ = 66551040.

The previous prime is 138216607. The next prime is 138216641. The reversal of 138216608 is 806612831.

138216608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138216601) 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, 126143 + ... + 127233.

It is an arithmetic number, because the mean of its divisors is an integer number (5882058).

Almost surely, 2138216608 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 138216608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

138216608 is an abundant number, since it is smaller than the sum of its proper divisors (144122176).

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

138216608 is a wasteful number, since it uses less digits than its factorization.

138216608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 138216608 is about 11756.5559582728. Note that the first 3 decimals coincide. The cubic root of 138216608 is about 517.0351593003.

The spelling of 138216608 in words is "one hundred thirty-eight million, two hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 37 74 107 148 214 296 428 592 856 1091 1184 1712 2182 3424 3959 4364 7918 8728 15836 17456 31672 34912 40367 63344 80734 116737 126688 161468 233474 322936 466948 645872 933896 1291744 1867792 3735584 4319269 8638538 17277076 34554152 69108304 138216608