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138538785 = 357111959107
BaseRepresentation
bin10000100000111…
…10111100100001
3100122200111111010
420100132330201
5240431220120
621425211133
73301363110
oct1020367441
9318614433
10138538785
1171224270
123a490aa9
1322918218
1414583c77
15c2687e0
hex841ef21

138538785 has 128 divisors (see below), whose sum is σ = 298598400. Its totient is φ = 53118720.

The previous prime is 138538759. The next prime is 138538789. The reversal of 138538785 is 587835831.

It is a happy number.

It is not a de Polignac number, because 138538785 - 28 = 138538529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138538789) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1294702 + ... + 1294808.

It is an arithmetic number, because the mean of its divisors is an integer number (2332800).

Almost surely, 2138538785 is an apocalyptic number.

138538785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138538785 is an abundant number, since it is smaller than the sum of its proper divisors (160059615).

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

138538785 is a wasteful number, since it uses less digits than its factorization.

138538785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its digits is 806400, while the sum is 48.

The square root of 138538785 is about 11770.2499973450. The cubic root of 138538785 is about 517.4365765116.

The spelling of 138538785 in words is "one hundred thirty-eight million, five hundred thirty-eight thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 59 77 95 105 107 133 165 177 209 231 285 295 321 385 399 413 535 627 649 665 749 885 1045 1121 1155 1177 1239 1463 1605 1947 1995 2033 2065 2247 3135 3245 3363 3531 3745 4389 4543 5605 5885 6099 6195 6313 7315 7847 8239 9735 10165 11235 12331 13629 14231 16815 17655 18939 21945 22363 22715 23541 24717 30495 31565 36993 39235 41195 42693 44191 61655 67089 68145 69443 71155 86317 94695 111815 117705 119947 123585 132573 156541 184965 208329 213465 220955 258951 335445 347215 359841 431585 469623 486101 599735 662865 782705 839629 1041645 1294755 1319417 1458303 1799205 2348115 2430505 2518887 3958251 4198145 6597085 7291515 9235919 12594435 19791255 27707757 46179595 138538785