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138271875 = 3557343
BaseRepresentation
bin10000011110111…
…01110010000011
3100122011221100120
420033131302003
5240344200000
621415351323
73266202000
oct1017356203
9318157316
10138271875
1171061785
123a382543
13228538a1
14145148a7
15c2146a0
hex83ddc83

138271875 has 96 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 61740000.

The previous prime is 138271871. The next prime is 138271877. The reversal of 138271875 is 578172831.

138271875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138271875 - 22 = 138271871 is a prime.

It is a super-2 number, since 2×1382718752 = 38238222832031250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138271871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3215604 + ... + 3215646.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2138271875 is an apocalyptic number.

138271875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138271875 is a deficient number, since it is larger than the sum of its proper divisors (136710525).

138271875 is an frugal number, since it uses more digits than its factorization.

138271875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The square root of 138271875 is about 11758.9061991326. The cubic root of 138271875 is about 517.1040636449.

The spelling of 138271875 in words is "one hundred thirty-eight million, two hundred seventy-one thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 43 49 75 105 125 129 147 175 215 245 301 343 375 525 625 645 735 875 903 1029 1075 1225 1505 1715 1875 2107 2625 3125 3225 3675 4375 4515 5145 5375 6125 6321 7525 8575 9375 10535 13125 14749 16125 18375 21875 22575 25725 26875 30625 31605 37625 42875 44247 52675 65625 73745 80625 91875 112875 128625 134375 153125 158025 188125 214375 221235 263375 368725 403125 459375 564375 643125 790125 940625 1071875 1106175 1316875 1843625 2821875 3215625 3950625 5530875 6584375 9218125 19753125 27654375 46090625 138271875