Search a number
-
+
149168128 = 213131139
BaseRepresentation
bin10001110010000…
…10000000000000
3101101200112012111
420321002000000
5301141340003
622445105104
73460623334
oct1071020000
9341615174
10149168128
117722424a
1241b58194
1324b9a385
1415b4d7c4
15d167e6d
hex8e42000

149168128 has 56 divisors (see below), whose sum is σ = 302757840. Its totient is φ = 73482240.

The previous prime is 149168113. The next prime is 149168137. The reversal of 149168128 is 821861941.

It is a super-2 number, since 2×1491681282 = 44502260822048768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1073083 + ... + 1073221.

It is an arithmetic number, because the mean of its divisors is an integer number (5406390).

Almost surely, 2149168128 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 149168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151378920).

149168128 is an abundant number, since it is smaller than the sum of its proper divisors (153589712).

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

149168128 is an equidigital number, since it uses as much as digits as its factorization.

149168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 272 counting only the distinct ones).

The product of its digits is 27648, while the sum is 40.

The square root of 149168128 is about 12213.4404653234. The cubic root of 149168128 is about 530.3452455673.

The spelling of 149168128 in words is "one hundred forty-nine million, one hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 131 139 256 262 278 512 524 556 1024 1048 1112 2048 2096 2224 4096 4192 4448 8192 8384 8896 16768 17792 18209 33536 35584 36418 67072 71168 72836 134144 142336 145672 268288 284672 291344 536576 569344 582688 1073152 1138688 1165376 2330752 4661504 9323008 18646016 37292032 74584064 149168128