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145545140 = 225132692081
BaseRepresentation
bin10001010110011…
…01011110110100
3101010212110101202
420223031132310
5244224421030
622235312032
73415053566
oct1053153664
9333773352
10145545140
117517a244
12408ab618
13241cc2b0
1415489336
15cb9e745
hex8acd7b4

145545140 has 48 divisors (see below), whose sum is σ = 330538320. Its totient is φ = 53514240.

The previous prime is 145545139. The next prime is 145545151. The reversal of 145545140 is 41545541.

It can be written as a sum of positive squares in 8 ways, for example, as 45104656 + 100440484 = 6716^2 + 10022^2 .

It is a congruent number.

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, 68900 + ... + 70980.

It is an arithmetic number, because the mean of its divisors is an integer number (6886215).

Almost surely, 2145545140 is an apocalyptic number.

145545140 is a gapful number since it is divisible by the number (10) 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 145545140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165269160).

145545140 is an abundant number, since it is smaller than the sum of its proper divisors (184993180).

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

145545140 is a wasteful number, since it uses less digits than its factorization.

145545140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 145545140 is about 12064.2090499129. The cubic root of 145545140 is about 526.0163411097.

The spelling of 145545140 in words is "one hundred forty-five million, five hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 269 538 1076 1345 2081 2690 3497 4162 5380 6994 8324 10405 13988 17485 20810 27053 34970 41620 54106 69940 108212 135265 270530 541060 559789 1119578 2239156 2798945 5597890 7277257 11195780 14554514 29109028 36386285 72772570 145545140