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144857136 = 243171671063
BaseRepresentation
bin10001010001001…
…01100000110000
3101002120111122010
420220211200300
5244040412021
622212442520
73406160004
oct1050454060
9332514563
10144857136
117484a346
1240619440
132401b0a8
141534a704
15cab5976
hex8a25830

144857136 has 80 divisors (see below), whose sum is σ = 398974464. Its totient is φ = 45130752.

The previous prime is 144857123. The next prime is 144857171. The reversal of 144857136 is 631758441.

It is a junction number, because it is equal to n+sod(n) for n = 144857094 and 144857103.

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, 135741 + ... + 136803.

Almost surely, 2144857136 is an apocalyptic number.

144857136 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 144857136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

144857136 is an abundant number, since it is smaller than the sum of its proper divisors (254117328).

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

144857136 is a wasteful number, since it uses less digits than its factorization.

144857136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 144857136 is about 12035.6610121754. The cubic root of 144857136 is about 525.1861906492.

The spelling of 144857136 in words is "one hundred forty-four million, eight hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 167 204 272 334 408 501 668 816 1002 1063 1336 2004 2126 2672 2839 3189 4008 4252 5678 6378 8016 8504 8517 11356 12756 17008 17034 18071 22712 25512 34068 36142 45424 51024 54213 68136 72284 108426 136272 144568 177521 216852 289136 355042 433704 532563 710084 867408 1065126 1420168 2130252 2840336 3017857 4260504 6035714 8521008 9053571 12071428 18107142 24142856 36214284 48285712 72428568 144857136