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149411136 = 2637195851
BaseRepresentation
bin10001110011111…
…01010101000000
3101102010212112210
420321331111000
5301222124021
622454222120
73462654660
oct1071752500
9342125483
10149411136
117737a886
1242054940
1324c53b74
1415bb41a0
15d1b4e76
hex8e7d540

149411136 has 112 divisors (see below), whose sum is σ = 475650560. Its totient is φ = 40435200.

The previous prime is 149411131. The next prime is 149411149. The reversal of 149411136 is 631114941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149411131) 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 15 ways as a sum of consecutive naturals, for example, 22611 + ... + 28461.

It is an arithmetic number, because the mean of its divisors is an integer number (4246880).

Almost surely, 2149411136 is an apocalyptic number.

149411136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237825280).

149411136 is an abundant number, since it is smaller than the sum of its proper divisors (326239424).

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

149411136 is a wasteful number, since it uses less digits than its factorization.

149411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5882 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 149411136 is about 12223.3848012733. The cubic root of 149411136 is about 530.6330823365.

The spelling of 149411136 in words is "one hundred forty-nine million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 5851 6384 8512 11702 12768 17553 23404 25536 35106 40957 46808 70212 81914 93616 111169 122871 140424 163828 187232 222338 245742 280848 327656 333507 374464 444676 491484 561696 655312 667014 778183 889352 982968 1123392 1310624 1334028 1556366 1778704 1965936 2334549 2621248 2668056 3112732 3557408 3931872 4669098 5336112 6225464 7114816 7863744 9338196 10672224 12450928 18676392 21344448 24901856 37352784 49803712 74705568 149411136