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138375075 = 35243107401
BaseRepresentation
bin10000011111101…
…10111110100011
3100122101011220210
420033312332203
5240411000300
621421505203
73300111606
oct1017667643
9318334823
10138375075
1171122273
123a412203
132288b857
141454033d
15c235050
hex83f6fa3

138375075 has 48 divisors (see below), whose sum is σ = 236877696. Its totient is φ = 71232000.

The previous prime is 138375071. The next prime is 138375089. The reversal of 138375075 is 570573831.

It is not a de Polignac number, because 138375075 - 22 = 138375071 is a prime.

It is a super-2 number, since 2×1383750752 = 38295322762511250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138375071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344875 + ... + 345275.

It is an arithmetic number, because the mean of its divisors is an integer number (4934952).

Almost surely, 2138375075 is an apocalyptic number.

138375075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138375075 is a deficient number, since it is larger than the sum of its proper divisors (98502621).

138375075 is a wasteful number, since it uses less digits than its factorization.

138375075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 138375075 is about 11763.2935439017. The cubic root of 138375075 is about 517.2326795050.

The spelling of 138375075 in words is "one hundred thirty-eight million, three hundred seventy-five thousand, seventy-five".

Divisors: 1 3 5 15 25 43 75 107 129 215 321 401 535 645 1075 1203 1605 2005 2675 3225 4601 6015 8025 10025 13803 17243 23005 30075 42907 51729 69015 86215 115025 128721 214535 258645 345075 431075 643605 1072675 1293225 1845001 3218025 5535003 9225005 27675015 46125025 138375075