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138269145 = 35731107397
BaseRepresentation
bin10000011110111…
…01000111011001
3100122011210121110
420033131013121
5240344103040
621415330533
73266161020
oct1017350731
9318153543
10138269145
117105a723
123a380a49
1322852581
14145138b7
15c213980
hex83dd1d9

138269145 has 64 divisors (see below), whose sum is σ = 264093696. Its totient is φ = 60445440.

The previous prime is 138269107. The next prime is 138269147. The reversal of 138269145 is 541962831.

It is not a de Polignac number, because 138269145 - 27 = 138269017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138269147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348087 + ... + 348483.

It is an arithmetic number, because the mean of its divisors is an integer number (4126464).

Almost surely, 2138269145 is an apocalyptic number.

138269145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138269145 is a deficient number, since it is larger than the sum of its proper divisors (125824551).

138269145 is a wasteful number, since it uses less digits than its factorization.

138269145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550.

The product of its digits is 51840, while the sum is 39.

The square root of 138269145 is about 11758.7901163342. The cubic root of 138269145 is about 517.1006604380.

The spelling of 138269145 in words is "one hundred thirty-eight million, two hundred sixty-nine thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 31 35 93 105 107 155 217 321 397 465 535 651 749 1085 1191 1605 1985 2247 2779 3255 3317 3745 5955 8337 9951 11235 12307 13895 16585 23219 36921 41685 42479 49755 61535 69657 86149 116095 127437 184605 212395 258447 297353 348285 430745 637185 892059 1292235 1316849 1486765 3950547 4460295 6584245 9217943 19752735 27653829 46089715 138269145