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144068136 = 23323359727
BaseRepresentation
bin10001001011001…
…00111000101000
3101001002102022220
420211210320220
5243340140021
622143514040
73366362502
oct1045447050
9331072286
10144068136
1174360583
12402b8920
1323b02c24
14151c2d72
15c9abcc6
hex8964e28

144068136 has 64 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 45743808.

The previous prime is 144068123. The next prime is 144068161. The reversal of 144068136 is 631860441.

It is a junction number, because it is equal to n+sod(n) for n = 144068097 and 144068106.

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 15 ways as a sum of consecutive naturals, for example, 197805 + ... + 198531.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2144068136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144068136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

144068136 is an abundant number, since it is smaller than the sum of its proper divisors (233327064).

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

144068136 is a wasteful number, since it uses less digits than its factorization.

144068136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 144068136 is about 12002.8386642494. The cubic root of 144068136 is about 524.2309356376.

The spelling of 144068136 in words is "one hundred forty-four million, sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 359 552 718 727 1077 1436 1454 2154 2181 2872 2908 4308 4362 5816 8257 8616 8724 16514 16721 17448 24771 33028 33442 49542 50163 66056 66884 99084 100326 133768 198168 200652 260993 401304 521986 782979 1043972 1565958 2087944 3131916 6002839 6263832 12005678 18008517 24011356 36017034 48022712 72034068 144068136