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138126042 = 23289151571
BaseRepresentation
bin10000011101110…
…10001011011010
3100121220112022100
420032322023122
5240330013132
621412304230
73265023555
oct1016721332
9317815270
10138126042
1170a7215a
123a312076
13228023b2
14144b769c
15c1d637c
hex83ba2da

138126042 has 48 divisors (see below), whose sum is σ = 305173440. Its totient is φ = 45144000.

The previous prime is 138126041. The next prime is 138126073. The reversal of 138126042 is 240621831.

138126042 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138125997 and 138126015.

It is not an unprimeable number, because it can be changed into a prime (138126041) 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, 241617 + ... + 242187.

It is an arithmetic number, because the mean of its divisors is an integer number (6357780).

Almost surely, 2138126042 is an apocalyptic number.

138126042 is an abundant number, since it is smaller than the sum of its proper divisors (167047398).

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

138126042 is a wasteful number, since it uses less digits than its factorization.

138126042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138126042 is about 11752.7036038522. The cubic root of 138126042 is about 516.9222060691.

Adding to 138126042 its reverse (240621831), we get a palindrome (378747873).

The spelling of 138126042 in words is "one hundred thirty-eight million, one hundred twenty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 89 151 178 267 302 453 534 571 801 906 1142 1359 1602 1713 2718 3426 5139 10278 13439 26878 40317 50819 80634 86221 101638 120951 152457 172442 241902 258663 304914 457371 517326 775989 914742 1551978 7673669 15347338 23021007 46042014 69063021 138126042