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149361128 = 23719229613
BaseRepresentation
bin10001110011100…
…01000111101000
3101102001022221122
420321301013220
5301214024003
622453154412
73462356120
oct1071610750
9342038848
10149361128
1177346254
124202ba08
1324c37187
1415b9dc80
15d1a5238
hex8e711e8

149361128 has 64 divisors (see below), whose sum is σ = 338928000. Its totient is φ = 60279552.

The previous prime is 149361101. The next prime is 149361161. The reversal of 149361128 is 821163941.

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 15 ways as a sum of consecutive naturals, for example, 243350 + ... + 243962.

It is an arithmetic number, because the mean of its divisors is an integer number (5295750).

Almost surely, 2149361128 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 149361128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169464000).

149361128 is an abundant number, since it is smaller than the sum of its proper divisors (189566872).

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

149361128 is a wasteful number, since it uses less digits than its factorization.

149361128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 149361128 is about 12221.3390428381. The cubic root of 149361128 is about 530.5738746564.

The spelling of 149361128 in words is "one hundred forty-nine million, three hundred sixty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 229 266 458 532 613 916 1064 1226 1603 1832 2452 3206 4291 4351 4904 6412 8582 8702 11647 12824 17164 17404 23294 30457 34328 34808 46588 60914 81529 93176 121828 140377 163058 243656 280754 326116 561508 652232 982639 1123016 1965278 2667163 3930556 5334326 7861112 10668652 18670141 21337304 37340282 74680564 149361128