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138158046 = 23213619679
BaseRepresentation
bin10000011110000…
…01111111011110
3100121222011012200
420033001333132
5240332024141
621413112330
73265216065
oct1017017736
9317864180
10138158046
1170a94204
123a3286a6
1322813b30
14144c51dc
15c1e0ab6
hex83c1fde

138158046 has 48 divisors (see below), whose sum is σ = 327687360. Its totient is φ = 41808960.

The previous prime is 138158029. The next prime is 138158057. The reversal of 138158046 is 640851831.

138158046 is a `hidden beast` number, since 1 + 38 + 1 + 580 + 46 = 666.

138158046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 138158046.

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, 9435 + ... + 19113.

It is an arithmetic number, because the mean of its divisors is an integer number (6826820).

Almost surely, 2138158046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138158046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163843680).

138158046 is an abundant number, since it is smaller than the sum of its proper divisors (189529314).

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

138158046 is a wasteful number, since it uses less digits than its factorization.

138158046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138158046 is about 11754.0650840465. The cubic root of 138158046 is about 516.9621268556.

The spelling of 138158046 in words is "one hundred thirty-eight million, one hundred fifty-eight thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4758 7137 9679 14274 19358 29037 58074 87111 125827 174222 251654 377481 590419 754962 1132443 1180838 1771257 2264886 3542514 5313771 7675447 10627542 15350894 23026341 46052682 69079023 138158046