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144357136 = 24721119881
BaseRepresentation
bin10001001101010…
…11011100010000
3101001122002202121
420212223130100
5243423412021
622154024024
73402005200
oct1046533420
9331562677
10144357136
1174538720
1240418014
1323ba4631
141525a400
15ca17741
hex89ab710

144357136 has 120 divisors (see below), whose sum is σ = 374038560. Its totient is φ = 53222400.

The previous prime is 144357121. The next prime is 144357137. The reversal of 144357136 is 631753441.

144357136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144357137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163416 + ... + 164296.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2144357136 is an apocalyptic number.

144357136 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 144357136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

144357136 is an abundant number, since it is smaller than the sum of its proper divisors (229681424).

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

144357136 is a wasteful number, since it uses less digits than its factorization.

144357136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 920 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 144357136 is about 12014.8714516636. The cubic root of 144357136 is about 524.5812364346.

The spelling of 144357136 in words is "one hundred forty-four million, three hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 49 56 76 77 88 98 112 133 152 154 176 196 209 266 304 308 392 418 532 539 616 784 836 881 931 1064 1078 1232 1463 1672 1762 1862 2128 2156 2926 3344 3524 3724 4312 5852 6167 7048 7448 8624 9691 10241 11704 12334 14096 14896 16739 19382 20482 23408 24668 33478 38764 40964 43169 49336 66956 67837 77528 81928 86338 98672 117173 133912 135674 155056 163856 172676 184129 234346 267824 271348 345352 368258 468692 474859 542696 690704 736516 820211 937384 949718 1085392 1288903 1473032 1640422 1874768 1899436 2577806 2946064 3280844 3798872 5155612 6561688 7597744 9022321 10311224 13123376 18044642 20622448 36089284 72178568 144357136