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138575000 = 235523241
BaseRepresentation
bin10000100001001…
…11110010011000
3100122202100011102
420100213302120
5240433400000
621430050532
73301603514
oct1020476230
9318670142
10138575000
11712494a3
123a4a9a48
132292b855
1414593144
15c2743d5
hex8427c98

138575000 has 96 divisors (see below), whose sum is σ = 340290720. Its totient is φ = 52800000.

The previous prime is 138574921. The next prime is 138575033. The reversal of 138575000 is 575831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574880 + ... + 575120.

It is an arithmetic number, because the mean of its divisors is an integer number (3544695).

Almost surely, 2138575000 is an apocalyptic number.

138575000 is a gapful number since it is divisible by the number (10) 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 138575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360).

138575000 is an abundant number, since it is smaller than the sum of its proper divisors (201715720).

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

138575000 is an equidigital number, since it uses as much as digits as its factorization.

138575000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 138575000 is about 11771.7883093437. The cubic root of 138575000 is about 517.4816597544.

The spelling of 138575000 in words is "one hundred thirty-eight million, five hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 241 250 460 482 500 575 625 920 964 1000 1150 1205 1250 1928 2300 2410 2500 2875 3125 4600 4820 5000 5543 5750 6025 6250 9640 11086 11500 12050 12500 14375 22172 23000 24100 25000 27715 28750 30125 44344 48200 55430 57500 60250 71875 110860 115000 120500 138575 143750 150625 221720 241000 277150 287500 301250 554300 575000 602500 692875 753125 1108600 1205000 1385750 1506250 2771500 3012500 3464375 5543000 6025000 6928750 13857500 17321875 27715000 34643750 69287500 138575000