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138527334 = 23411237191
BaseRepresentation
bin10000100000111…
…00001001100110
3100122122220210000
420100130021212
5240430333314
621425042130
73301314531
oct1020341146
9318586700
10138527334
1171216700
123a486346
1322912c4a
141457da18
15c265209
hex841c266

138527334 has 120 divisors (see below), whose sum is σ = 352243584. Its totient is φ = 40629600.

The previous prime is 138527327. The next prime is 138527357. The reversal of 138527334 is 433725831.

138527334 is a `hidden beast` number, since 1 + 385 + 273 + 3 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 725179 + ... + 725369.

Almost surely, 2138527334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138527334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176121792).

138527334 is an abundant number, since it is smaller than the sum of its proper divisors (213716250).

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

138527334 is a wasteful number, since it uses less digits than its factorization.

138527334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 138527334 is about 11769.7635490268. The cubic root of 138527334 is about 517.4223197832.

The spelling of 138527334 in words is "one hundred thirty-eight million, five hundred twenty-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 111 121 162 191 198 222 242 297 333 363 382 407 573 594 666 726 814 891 999 1089 1146 1221 1719 1782 1998 2101 2178 2442 2997 3267 3438 3663 4202 4477 5157 5994 6303 6534 7067 7326 8954 9801 10314 10989 12606 13431 14134 15471 18909 19602 21201 21978 23111 26862 30942 32967 37818 40293 42402 46222 56727 63603 65934 69333 77737 80586 113454 120879 127206 138666 155474 170181 190809 207999 233211 241758 340362 362637 381618 415998 466422 572427 623997 699633 725274 855107 1144854 1247994 1399266 1710214 1871991 2098899 2565321 3743982 4197798 5130642 6296697 7695963 12593394 15391926 23087889 46175778 69263667 138527334