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145135116 = 223273371709
BaseRepresentation
bin10001010011010…
…01011000001100
3101010002121221200
420221221120030
5244123310431
622222425500
73411425310
oct1051513014
9333077850
10145135116
1174a1a185
1240732290
13240b7789
14153bdb40
15cb1cee6
hex8a6960c

145135116 has 72 divisors (see below), whose sum is σ = 420769440. Its totient is φ = 41319936.

The previous prime is 145135099. The next prime is 145135139. The reversal of 145135116 is 611531541.

145135116 is a `hidden beast` number, since 145 + 1 + 3 + 511 + 6 = 666.

It is a super-3 number, since 3×1451351163 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145135116.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 84070 + ... + 85778.

It is an arithmetic number, because the mean of its divisors is an integer number (5844020).

Almost surely, 2145135116 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 145135116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210384720).

145135116 is an abundant number, since it is smaller than the sum of its proper divisors (275634324).

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

145135116 is a wasteful number, since it uses less digits than its factorization.

145135116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2058 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 145135116 is about 12047.2036589409. The cubic root of 145135116 is about 525.5219190671.

Adding to 145135116 its reverse (611531541), we get a palindrome (756666657).

The spelling of 145135116 in words is "one hundred forty-five million, one hundred thirty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 337 674 1011 1348 1709 2022 2359 3033 3418 4044 4718 5127 6066 6836 7077 9436 10254 11963 12132 14154 15381 20508 21231 23926 28308 30762 35889 42462 47852 61524 71778 84924 107667 143556 215334 430668 575933 1151866 1727799 2303732 3455598 4031531 5183397 6911196 8063062 10366794 12094593 16126124 20733588 24189186 36283779 48378372 72567558 145135116