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138149184 = 263838669
BaseRepresentation
bin10000011101111…
…11110101000000
3100121221201001110
420032333311000
5240331233214
621413003320
73265151205
oct1016776500
9317851043
10138149184
1170a88588
123a323540
132280caa4
14144c1cac
15c1dd159
hex83bfd40

138149184 has 56 divisors (see below), whose sum is σ = 369966240. Its totient is φ = 45489664.

The previous prime is 138149177. The next prime is 138149189. The reversal of 138149184 is 481941831.

138149184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138149189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11602 + ... + 20270.

It is an arithmetic number, because the mean of its divisors is an integer number (6606540).

Almost surely, 2138149184 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 138149184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184983120).

138149184 is an abundant number, since it is smaller than the sum of its proper divisors (231817056).

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

138149184 is an equidigital number, since it uses as much as digits as its factorization.

138149184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8767 (or 8757 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 138149184 is about 11753.6881020384. The cubic root of 138149184 is about 516.9510732918.

The spelling of 138149184 in words is "one hundred thirty-eight million, one hundred forty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3984 5312 7968 8669 15936 17338 26007 34676 52014 69352 104028 138704 208056 277408 416112 554816 719527 832224 1439054 1664448 2158581 2878108 4317162 5756216 8634324 11512432 17268648 23024864 34537296 46049728 69074592 138149184