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145352130 = 235721189101
BaseRepresentation
bin10001010100111…
…10010111000010
3101010111122122020
420222132113002
5244202232010
622231222310
73413321100
oct1052362702
9333448566
10145352130
1175058230
1240817996
13241624a1
1415438c70
15cb62470
hex8a9e5c2

145352130 has 192 divisors, whose sum is σ = 452096640. Its totient is φ = 29568000.

The previous prime is 145352113. The next prime is 145352131. The reversal of 145352130 is 31253541.

It is a super-2 number, since 2×1453521302 = 42254483391073800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145352130.

It is not an unprimeable number, because it can be changed into a prime (145352131) 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 95 ways as a sum of consecutive naturals, for example, 1439080 + ... + 1439180.

It is an arithmetic number, because the mean of its divisors is an integer number (2354670).

Almost surely, 2145352130 is an apocalyptic number.

145352130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145352130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226048320).

145352130 is an abundant number, since it is smaller than the sum of its proper divisors (306744510).

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

145352130 is a wasteful number, since it uses less digits than its factorization.

145352130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 145352130 is about 12056.2071150093. The cubic root of 145352130 is about 525.7837183744.

The spelling of 145352130 in words is "one hundred forty-five million, three hundred fifty-two thousand, one hundred thirty".