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144134208 = 2633239349
BaseRepresentation
bin10001001011101…
…01000001000000
3101001012202222000
420211311001000
5243344243313
622145144000
73400056231
oct1045650100
9331182860
10144134208
11743a6189
124032b000
1323b2701a
14151dd088
15c9c1673
hex8975040

144134208 has 112 divisors (see below), whose sum is σ = 426720000. Its totient is φ = 47706624.

The previous prime is 144134197. The next prime is 144134233. The reversal of 144134208 is 802431441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412818 + ... + 413166.

It is an arithmetic number, because the mean of its divisors is an integer number (3810000).

Almost surely, 2144134208 is an apocalyptic number.

144134208 is a gapful number since it is divisible by the number (18) 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 144134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360000).

144134208 is an abundant number, since it is smaller than the sum of its proper divisors (282585792).

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

144134208 is a wasteful number, since it uses less digits than its factorization.

144134208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 144134208 is about 12005.5906976708. The cubic root of 144134208 is about 524.3110636791.

Adding to 144134208 its reverse (802431441), we get a palindrome (946565649).

The spelling of 144134208 in words is "one hundred forty-four million, one hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 239 288 349 432 478 576 698 717 864 956 1047 1396 1434 1728 1912 2094 2151 2792 2868 3141 3824 4188 4302 5584 5736 6282 6453 7648 8376 8604 9423 11168 11472 12564 12906 15296 16752 17208 18846 22336 22944 25128 25812 33504 34416 37692 45888 50256 51624 67008 68832 75384 83411 100512 103248 137664 150768 166822 201024 206496 250233 301536 333644 412992 500466 603072 667288 750699 1000932 1334576 1501398 2001864 2252097 2669152 3002796 4003728 4504194 5338304 6005592 8007456 9008388 12011184 16014912 18016776 24022368 36033552 48044736 72067104 144134208