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145145142 = 23319241587
BaseRepresentation
bin10001010011010…
…11110100110110
3101010010010201000
420221223310312
5244124121032
622222544130
73411466452
oct1051536466
9333103630
10145145142
1174a2676a
1240738046
13240bc1cc
14153c3662
15cb20e7c
hex8a6bd36

145145142 has 64 divisors (see below), whose sum is σ = 341510400. Its totient is φ = 45567360.

The previous prime is 145145141. The next prime is 145145153. The reversal of 145145142 is 241541541.

145145142 is a `hidden beast` number, since 1 + 4 + 514 + 5 + 142 = 666.

It is a super-2 number, since 2×1451451422 = 42134224492400328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145145141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246973 + ... + 247559.

It is an arithmetic number, because the mean of its divisors is an integer number (5336100).

Almost surely, 2145145142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145145142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170755200).

145145142 is an abundant number, since it is smaller than the sum of its proper divisors (196365258).

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

145145142 is a wasteful number, since it uses less digits than its factorization.

145145142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 145145142 is about 12047.6197649162. The cubic root of 145145142 is about 525.5340198864.

Adding to 145145142 its reverse (241541541), we get a palindrome (386686683).

The spelling of 145145142 in words is "one hundred forty-five million, one hundred forty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 241 342 482 513 587 723 1026 1174 1446 1761 2169 3522 4338 4579 5283 6507 9158 10566 11153 13014 13737 15849 22306 27474 31698 33459 41211 66918 82422 100377 123633 141467 200754 247266 282934 301131 424401 602262 848802 1273203 2546406 2687873 3819609 5375746 7639218 8063619 16127238 24190857 48381714 72572571 145145142