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149148594 = 23371921093
BaseRepresentation
bin10001110001111…
…01001110110010
3101101122112102000
420320331032302
5301140223334
622444434430
73460512360
oct1070751662
9341575360
10149148594
1177210601
1241b48a16
1324b9150a
1415b46630
15d162299
hex8e3d3b2

149148594 has 96 divisors (see below), whose sum is σ = 400141440. Its totient is φ = 40334112.

The previous prime is 149148551. The next prime is 149148631. The reversal of 149148594 is 495841941.

It is a happy number.

149148594 is a `hidden beast` number, since 1 + 49 + 14 + 8 + 594 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135912 + ... + 137004.

It is an arithmetic number, because the mean of its divisors is an integer number (4168140).

Almost surely, 2149148594 is an apocalyptic number.

149148594 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149148594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200070720).

149148594 is an abundant number, since it is smaller than the sum of its proper divisors (250992846).

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

149148594 is a wasteful number, since it uses less digits than its factorization.

149148594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1124 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 149148594 is about 12212.6407463742. The cubic root of 149148594 is about 530.3220944729.

The spelling of 149148594 in words is "one hundred forty-nine million, one hundred forty-eight thousand, five hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 361 378 399 513 722 798 1026 1083 1093 1197 2166 2186 2394 2527 3249 3279 3591 5054 6498 6558 7182 7581 7651 9747 9837 15162 15302 19494 19674 20767 22743 22953 29511 41534 45486 45906 59022 62301 68229 68859 124602 136458 137718 145369 186903 206577 290738 373806 394573 413154 436107 560709 789146 872214 1121418 1183719 1308321 2367438 2616642 2762011 3551157 3924963 5524022 7102314 7849926 8286033 10653471 16572066 21306942 24858099 49716198 74574297 149148594