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144136128 = 2631939511
BaseRepresentation
bin10001001011101…
…01011111000000
3101001012212121010
420211311133000
5243344324003
622145200520
73400064643
oct1045653700
9331185533
10144136128
11743a7674
1240330140
1323b27b66
14151dda5a
15c9c2003
hex89757c0

144136128 has 56 divisors (see below), whose sum is σ = 401441920. Its totient is φ = 45515520.

The previous prime is 144136121. The next prime is 144136151. The reversal of 144136128 is 821631441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144136095 and 144136104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144136121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16108 + ... + 23403.

Almost surely, 2144136128 is an apocalyptic number.

It is an amenable number.

144136128 is an abundant number, since it is smaller than the sum of its proper divisors (257305792).

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

144136128 is a wasteful number, since it uses less digits than its factorization.

144136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39545 (or 39535 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 144136128 is about 12005.6706601506. The cubic root of 144136128 is about 524.3133917703.

Adding to 144136128 its reverse (821631441), we get a palindrome (965767569).

The spelling of 144136128 in words is "one hundred forty-four million, one hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 39511 79022 118533 158044 237066 316088 474132 632176 750709 948264 1264352 1501418 1896528 2252127 2528704 3002836 3793056 4504254 6005672 7586112 9008508 12011344 18017016 24022688 36034032 48045376 72068064 144136128