Search a number
-
+
138127734 = 23337257269
BaseRepresentation
bin10000011101110…
…10100101110110
3100121220121122000
420032322211312
5240330041414
621412320130
73265031523
oct1016724566
9317817560
10138127734
1170a73458
123a313046
13228030b4
14144b814a
15c1d6b09
hex83ba976

138127734 has 64 divisors (see below), whose sum is σ = 317649600. Its totient is φ = 44457984.

The previous prime is 138127727. The next prime is 138127747. The reversal of 138127734 is 437721831.

138127734 is a `hidden beast` number, since 1 + 381 + 277 + 3 + 4 = 666.

138127734 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513352 + ... + 513620.

It is an arithmetic number, because the mean of its divisors is an integer number (4963275).

Almost surely, 2138127734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138127734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158824800).

138127734 is an abundant number, since it is smaller than the sum of its proper divisors (179521866).

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

138127734 is a wasteful number, since it uses less digits than its factorization.

138127734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 138127734 is about 11752.7755870688. The cubic root of 138127734 is about 516.9243167712.

The spelling of 138127734 in words is "one hundred thirty-eight million, one hundred twenty-seven thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 257 269 333 514 538 666 771 807 999 1542 1614 1998 2313 2421 4626 4842 6939 7263 9509 9953 13878 14526 19018 19906 28527 29859 57054 59718 69133 85581 89577 138266 171162 179154 207399 256743 268731 414798 513486 537462 622197 1244394 1866591 2557921 3733182 5115842 7673763 15347526 23021289 46042578 69063867 138127734