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148614144 = 210376911
BaseRepresentation
bin10001101101110…
…10110000000000
3101100122101021120
420312322300000
5301021123034
622425152240
73453125250
oct1066726000
9340571246
10148614144
1176986008
124192b680
1324a35183
1415a47960
15d0a8c49
hex8dbac00

148614144 has 88 divisors (see below), whose sum is σ = 452763648. Its totient is φ = 42455040.

The previous prime is 148614133. The next prime is 148614211. The reversal of 148614144 is 441416841.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18049 + ... + 24959.

Almost surely, 2148614144 is an apocalyptic number.

148614144 is a gapful number since it is divisible by the number (14) 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 148614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226381824).

148614144 is an abundant number, since it is smaller than the sum of its proper divisors (304149504).

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

148614144 is an equidigital number, since it uses as much as digits as its factorization.

148614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 6923 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 148614144 is about 12190.7400923816. The cubic root of 148614144 is about 529.6878950389.

The spelling of 148614144 in words is "one hundred forty-eight million, six hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 6911 7168 10752 13822 20733 21504 27644 41466 48377 55288 82932 96754 110576 145131 165864 193508 221152 290262 331728 387016 442304 580524 663456 774032 884608 1161048 1326912 1548064 1769216 2322096 2653824 3096128 3538432 4644192 5307648 6192256 7076864 9288384 10615296 12384512 18576768 21230592 24769024 37153536 49538048 74307072 148614144