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138359748 = 223193412
BaseRepresentation
bin10000011111100…
…11001111000100
3100122100101220010
420033303033010
5240410002443
621421310220
73300016122
oct1017631704
9318311803
10138359748
11711117aa
123a405370
1322884897
1414538912
15c230733
hex83f33c4

138359748 has 72 divisors (see below), whose sum is σ = 349286560. Its totient is φ = 42626880.

The previous prime is 138359737. The next prime is 138359791. The reversal of 138359748 is 847953831.

138359748 is digitally balanced in base 2, because in such base 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 = 138359697 and 138359706.

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, 3374608 + ... + 3374648.

Almost surely, 2138359748 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 138359748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174643280).

138359748 is an abundant number, since it is smaller than the sum of its proper divisors (210926812).

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

138359748 is an equidigital number, since it uses as much as digits as its factorization.

138359748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 65 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 138359748 is about 11762.6420501518. The cubic root of 138359748 is about 517.2135818508.

The spelling of 138359748 in words is "one hundred thirty-eight million, three hundred fifty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 361 492 722 779 1083 1444 1558 1681 2166 2337 3116 3362 4332 4674 5043 6724 6859 9348 10086 13718 14801 20172 20577 27436 29602 31939 41154 44403 59204 63878 82308 88806 95817 127756 177612 191634 281219 383268 562438 606841 843657 1124876 1213682 1687314 1820523 2427364 3374628 3641046 7282092 11529979 23059958 34589937 46119916 69179874 138359748