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149110144 = 272295087
BaseRepresentation
bin10001110001100…
…11110110000000
3101101120120122221
420320303312000
5301133011034
622443540424
73460262311
oct1070636600
9341516587
10149110144
1177194727
1241b2a714
1324b79b71
1415b36608
15d155bb4
hex8e33d80

149110144 has 32 divisors (see below), whose sum is σ = 298411200. Its totient is φ = 74214912.

The previous prime is 149110139. The next prime is 149110163. The reversal of 149110144 is 441011941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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, 26769 + ... + 31855.

It is an arithmetic number, because the mean of its divisors is an integer number (9325350).

Almost surely, 2149110144 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 149110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149205600).

149110144 is an abundant number, since it is smaller than the sum of its proper divisors (149301056).

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

149110144 is an equidigital number, since it uses as much as digits as its factorization.

149110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5318 counting only the distinct ones).

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

The square root of 149110144 is about 12211.0664562928. The cubic root of 149110144 is about 530.2765188124.

The spelling of 149110144 in words is "one hundred forty-nine million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 229 458 916 1832 3664 5087 7328 10174 14656 20348 29312 40696 81392 162784 325568 651136 1164923 2329846 4659692 9319384 18638768 37277536 74555072 149110144