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138162112 = 2611229857
BaseRepresentation
bin10000011110000…
…10111111000000
3100121222100210021
420033002333000
5240332141422
621413143224
73265233664
oct1017027700
9317870707
10138162112
1170a97270
123a32ab14
132281593a
14144c68a4
15c1e1dc7
hex83c2fc0

138162112 has 56 divisors (see below), whose sum is σ = 300746160. Its totient is φ = 62453760.

The previous prime is 138162109. The next prime is 138162113. The reversal of 138162112 is 211261831.

138162112 is digitally balanced in base 3, 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 (138162113) 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, 160788 + ... + 161644.

Almost surely, 2138162112 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 138162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150373080).

138162112 is an abundant number, since it is smaller than the sum of its proper divisors (162584048).

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

138162112 is a wasteful number, since it uses less digits than its factorization.

138162112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1099 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

The square root of 138162112 is about 11754.2380442120. The cubic root of 138162112 is about 516.9671982152.

The spelling of 138162112 in words is "one hundred thirty-eight million, one hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 229 352 458 704 857 916 1714 1832 2519 3428 3664 5038 6856 7328 9427 10076 13712 14656 18854 20152 27424 37708 40304 54848 75416 80608 150832 161216 196253 301664 392506 603328 785012 1570024 2158783 3140048 4317566 6280096 8635132 12560192 17270264 34540528 69081056 138162112