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138735142 = 27132191307
BaseRepresentation
bin10000100010011…
…10111000100110
3100200001110211121
420101032320212
5241004011032
621433324154
73303141430
oct1021167046
9320043747
10138735142
1171348847
123a56665a
1322986700
14145d5650
15c2a6a97
hex844ee26

138735142 has 48 divisors (see below), whose sum is σ = 259725312. Its totient is φ = 54419040.

The previous prime is 138735127. The next prime is 138735143. The reversal of 138735142 is 241537831.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138735098 and 138735107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138735143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451753 + ... + 452059.

It is an arithmetic number, because the mean of its divisors is an integer number (5410944).

Almost surely, 2138735142 is an apocalyptic number.

138735142 is a deficient number, since it is larger than the sum of its proper divisors (120990170).

138735142 is a wasteful number, since it uses less digits than its factorization.

138735142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 138735142 is about 11778.5882855290. The cubic root of 138735142 is about 517.6809228388.

The spelling of 138735142 in words is "one hundred thirty-eight million, seven hundred thirty-five thousand, one hundred forty-two".

Divisors: 1 2 7 13 14 26 91 169 182 191 307 338 382 614 1183 1337 2149 2366 2483 2674 3991 4298 4966 7982 17381 27937 32279 34762 51883 55874 58637 64558 103766 117274 225953 363181 410459 451906 726362 762281 820918 1524562 5335967 9909653 10671934 19819306 69367571 138735142