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148197168 = 2433727001
BaseRepresentation
bin10001101010101…
…00111100110000
3101022212012022000
420311110330300
5300414302133
622412214000
73446440500
oct1065247460
9338765260
10148197168
11767207a9
124176a300
132491a442
1415979a00
15d025413
hex8d54f30

148197168 has 120 divisors (see below), whose sum is σ = 494901360. Its totient is φ = 42336000.

The previous prime is 148197097. The next prime is 148197187. The reversal of 148197168 is 861791841.

It is a happy number.

148197168 is a `hidden beast` number, since 1 + 481 + 9 + 7 + 168 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17668 + ... + 24668.

It is an arithmetic number, because the mean of its divisors is an integer number (4124178).

Almost surely, 2148197168 is an apocalyptic number.

148197168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148197168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247450680).

148197168 is an abundant number, since it is smaller than the sum of its proper divisors (346704192).

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

148197168 is a wasteful number, since it uses less digits than its factorization.

148197168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7013 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 148197168 is about 12173.6259183532. The cubic root of 148197168 is about 529.1920381770.

It can be divided in two parts, 148197 and 168, that multiplied together give a triangular number (24897096 = T7056).

The spelling of 148197168 in words is "one hundred forty-eight million, one hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7001 7056 10584 14002 21003 21168 28004 42006 49007 56008 63009 84012 98014 112016 126018 147021 168024 189027 196028 252036 294042 336048 343049 378054 392056 441063 504072 588084 686098 756108 784112 882126 1008144 1029147 1176168 1323189 1372196 1512216 1764252 2058294 2352336 2646378 2744392 3024432 3087441 3528504 4116588 5292756 5488784 6174882 7057008 8233176 9262323 10585512 12349764 16466352 18524646 21171024 24699528 37049292 49399056 74098584 148197168