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149744168 = 237192329211
BaseRepresentation
bin10001110110011…
…10101000101000
3101102202210101022
420323032220220
5301313303133
622505312012
73465542630
oct1073165050
9342683338
10149744168
1177588012
1242195608
132503c622
1415c5d6c0
15d22d998
hex8ecea28

149744168 has 128 divisors (see below), whose sum is σ = 366336000. Its totient is φ = 55883520.

The previous prime is 149744137. The next prime is 149744173. The reversal of 149744168 is 861447941.

It is a happy number.

149744168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 122372-1.

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 31 ways as a sum of consecutive naturals, for example, 709583 + ... + 709793.

It is an arithmetic number, because the mean of its divisors is an integer number (2862000).

Almost surely, 2149744168 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 149744168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183168000).

149744168 is an abundant number, since it is smaller than the sum of its proper divisors (216591832).

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

149744168 is a wasteful number, since it uses less digits than its factorization.

149744168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 149744168 is about 12236.9999591403. Note that the first 4 decimals coincide. The cubic root of 149744168 is about 531.0270437341.

The spelling of 149744168 in words is "one hundred forty-nine million, seven hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 23 28 29 38 46 56 58 76 92 116 133 152 161 184 203 211 232 266 322 406 422 437 532 551 644 667 812 844 874 1064 1102 1288 1334 1477 1624 1688 1748 2204 2668 2954 3059 3496 3857 4009 4408 4669 4853 5336 5908 6118 6119 7714 8018 9338 9706 11816 12236 12238 12673 15428 16036 18676 19412 24472 24476 25346 28063 30856 32072 33971 37352 38824 42833 48952 50692 56126 67942 85666 88711 92207 101384 112252 116261 135884 140737 171332 177422 184414 224504 232522 271768 281474 342664 354844 368828 465044 562948 645449 709688 737656 813827 930088 985159 1125896 1290898 1627654 1970318 2581796 2674003 3255308 3940636 5163592 5348006 6510616 7881272 10696012 18718021 21392024 37436042 74872084 149744168