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138188512 = 25711173299
BaseRepresentation
bin10000011110010…
…01011011100000
3100122000201000001
420033021123200
5240334013022
621413505344
73265403650
oct1017113340
9318021001
10138188512
1171005090
123a342254
1322824967
14144d2360
15c1e9b27
hex83c96e0

138188512 has 96 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 50657280.

The previous prime is 138188473. The next prime is 138188521. The reversal of 138188512 is 215881831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40239 + ... + 43537.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2138188512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138188512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

138188512 is an abundant number, since it is smaller than the sum of its proper divisors (221062688).

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

138188512 is a wasteful number, since it uses less digits than its factorization.

138188512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3336 counting only the distinct ones).

The product of its digits is 15360, while the sum is 37.

The square root of 138188512 is about 11755.3609897782. The cubic root of 138188512 is about 517.0001234618. Note that the first 3 decimals are identical.

The spelling of 138188512 in words is "one hundred thirty-eight million, one hundred eighty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 544 616 748 952 1232 1309 1496 1904 2464 2618 2992 3299 3808 5236 5984 6598 10472 13196 20944 23093 26392 36289 41888 46186 52784 56083 72578 92372 105568 112166 145156 184744 224332 254023 290312 369488 392581 448664 508046 580624 616913 738976 785162 897328 1016092 1161248 1233826 1570324 1794656 2032184 2467652 3140648 4064368 4318391 4935304 6281296 8128736 8636782 9870608 12562592 17273564 19741216 34547128 69094256 138188512