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142544128 = 2837101149
BaseRepresentation
bin10000111111100…
…00110100000000
3100221012222210011
420133300310000
5242442403003
622051114304
73350414356
oct1037606400
9327188704
10142544128
117350a571
123b8a2994
13236bb34c
1414d077d6
15c7aa46d
hex87f0d00

142544128 has 72 divisors (see below), whose sum is σ = 297095400. Its totient is φ = 68198400.

The previous prime is 142544123. The next prime is 142544161. The reversal of 142544128 is 821445241.

It can be written as a sum of positive squares in 4 ways, for example, as 58491904 + 84052224 = 7648^2 + 9168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142544128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142544123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 956598 + ... + 956746.

It is an arithmetic number, because the mean of its divisors is an integer number (4126325).

Almost surely, 2142544128 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 142544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148547700).

142544128 is an abundant number, since it is smaller than the sum of its proper divisors (154551272).

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

142544128 is a wasteful number, since it uses less digits than its factorization.

142544128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its digits is 10240, while the sum is 31.

The square root of 142544128 is about 11939.1845617697. The cubic root of 142544128 is about 522.3758736914.

Adding to 142544128 its reverse (821445241), we get a palindrome (963989369).

The spelling of 142544128 in words is "one hundred forty-two million, five hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 101 128 148 149 202 256 296 298 404 592 596 808 1184 1192 1616 2368 2384 3232 3737 4736 4768 5513 6464 7474 9472 9536 11026 12928 14948 15049 19072 22052 25856 29896 30098 38144 44104 59792 60196 88208 119584 120392 176416 239168 240784 352832 478336 481568 556813 705664 956672 963136 1113626 1411328 1926272 2227252 3852544 4454504 8909008 17818016 35636032 71272064 142544128