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149236146 = 232192941367
BaseRepresentation
bin10001110010100…
…10100110110010
3101101210222111200
420321102212302
5301201024041
622450352030
73461325543
oct1071224662
9341728450
10149236146
1177270364
1241b8b616
1324bc2317
1415b6a4ca
15d17d1b6
hex8e529b2

149236146 has 96 divisors (see below), whose sum is σ = 361670400. Its totient is φ = 44271360.

The previous prime is 149236123. The next prime is 149236147. The reversal of 149236146 is 641632941.

149236146 is a `hidden beast` number, since 14 + 9 + 23 + 614 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 149236146.

It is not an unprimeable number, because it can be changed into a prime (149236147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 406455 + ... + 406821.

It is an arithmetic number, because the mean of its divisors is an integer number (3767400).

Almost surely, 2149236146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149236146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835200).

149236146 is an abundant number, since it is smaller than the sum of its proper divisors (212434254).

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

149236146 is a wasteful number, since it uses less digits than its factorization.

149236146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 461 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 149236146 is about 12216.2247032379. The cubic root of 149236146 is about 530.4258426357.

The spelling of 149236146 in words is "one hundred forty-nine million, two hundred thirty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 29 38 41 57 58 82 87 114 123 171 174 246 261 342 367 369 522 551 734 738 779 1101 1102 1189 1558 1653 2202 2337 2378 3303 3306 3567 4674 4959 6606 6973 7011 7134 9918 10643 10701 13946 14022 15047 20919 21286 21402 22591 30094 31929 41838 45141 45182 62757 63858 67773 90282 95787 125514 135423 135546 191574 202217 203319 270846 285893 404434 406638 436363 571786 606651 857679 872726 1213302 1309089 1715358 1819953 2573037 2618178 3639906 3927267 5146074 7854534 8290897 16581794 24872691 49745382 74618073 149236146