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138425184 = 25321941617
BaseRepresentation
bin10000100000000…
…11001101100000
3100122110201122200
420100003031200
5240414101214
621422533200
73300410652
oct1020031540
9318421580
10138425184
1171156987
123a437200
13228a85c1
14145546d2
15c244d09
hex8403360

138425184 has 144 divisors (see below), whose sum is σ = 425159280. Its totient is φ = 42577920.

The previous prime is 138425141. The next prime is 138425219. The reversal of 138425184 is 481524831.

138425184 is a `hidden beast` number, since 138 + 4 + 2 + 518 + 4 = 666.

138425184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224044 + ... + 224660.

It is an arithmetic number, because the mean of its divisors is an integer number (2952495).

Almost surely, 2138425184 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 138425184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212579640).

138425184 is an abundant number, since it is smaller than the sum of its proper divisors (286734096).

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

138425184 is a wasteful number, since it uses less digits than its factorization.

138425184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 138425184 is about 11765.4232393059. The cubic root of 138425184 is about 517.2951061727.

The spelling of 138425184 in words is "one hundred thirty-eight million, four hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 144 152 164 171 228 246 288 304 328 342 369 456 492 608 617 656 684 738 779 912 984 1234 1312 1368 1476 1558 1824 1851 1968 2337 2468 2736 2952 3116 3702 3936 4674 4936 5472 5553 5904 6232 7011 7404 9348 9872 11106 11723 11808 12464 14022 14808 18696 19744 22212 23446 24928 25297 28044 29616 35169 37392 44424 46892 50594 56088 59232 70338 74784 75891 88848 93784 101188 105507 112176 140676 151782 177696 187568 202376 211014 224352 227673 281352 303564 375136 404752 422028 455346 480643 562704 607128 809504 844056 910692 961286 1125408 1214256 1441929 1688112 1821384 1922572 2428512 2883858 3376224 3642768 3845144 4325787 5767716 7285536 7690288 8651574 11535432 15380576 17303148 23070864 34606296 46141728 69212592 138425184