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138038145 = 35721091723
BaseRepresentation
bin10000011101001…
…00101110000001
3100121202001201220
420032210232001
5240314210040
621410345253
73264206400
oct1016445601
9317661656
10138038145
1170a12113
123a28b229
13227a139b
1414493637
15c1ba2d0
hex83a4b81

138038145 has 48 divisors (see below), whose sum is σ = 259427520. Its totient is φ = 62487936.

The previous prime is 138038119. The next prime is 138038149. The reversal of 138038145 is 541830831.

It is not a de Polignac number, because 138038145 - 211 = 138036097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138038149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 79254 + ... + 80976.

It is an arithmetic number, because the mean of its divisors is an integer number (5404740).

Almost surely, 2138038145 is an apocalyptic number.

138038145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138038145 is a deficient number, since it is larger than the sum of its proper divisors (121389375).

138038145 is a wasteful number, since it uses less digits than its factorization.

138038145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 138038145 is about 11748.9635713113. The cubic root of 138038145 is about 516.8125343720.

Adding to 138038145 its reverse (541830831), we get a palindrome (679868976).

The spelling of 138038145 in words is "one hundred thirty-eight million, thirty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 109 147 245 327 545 735 763 1635 1723 2289 3815 5169 5341 8615 11445 12061 16023 25845 26705 36183 60305 80115 84427 180915 187807 253281 422135 563421 939035 1266405 1314649 2817105 3943947 6573245 9202543 19719735 27607629 46012715 138038145