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145885185 = 3351576883
BaseRepresentation
bin10001011001000…
…00100000000001
3101011111201212000
420230200200001
5244321311220
622250454213
73421001145
oct1054404001
9334451760
10145885185
1175391776
1240a34369
13242bacc4
1415537225
15cc1a390
hex8b20801

145885185 has 32 divisors (see below), whose sum is σ = 261041280. Its totient is φ = 77298624.

The previous prime is 145885139. The next prime is 145885219. The reversal of 145885185 is 581588541.

145885185 is a `hidden beast` number, since 14 + 588 + 51 + 8 + 5 = 666.

It is not a de Polignac number, because 145885185 - 26 = 145885121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 145885185.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17754 + ... + 24636.

It is an arithmetic number, because the mean of its divisors is an integer number (8157540).

Almost surely, 2145885185 is an apocalyptic number.

145885185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145885185 is a deficient number, since it is larger than the sum of its proper divisors (115156095).

145885185 is a wasteful number, since it uses less digits than its factorization.

145885185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 7048 counting only the distinct ones).

The product of its digits is 256000, while the sum is 45.

The square root of 145885185 is about 12078.2939606552. The cubic root of 145885185 is about 526.4256759883.

It can be divided in two parts, 145885 and 185, that added together give a triangular number (146070 = T540).

The spelling of 145885185 in words is "one hundred forty-five million, eight hundred eighty-five thousand, one hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 157 471 785 1413 2355 4239 6883 7065 20649 21195 34415 61947 103245 185841 309735 929205 1080631 3241893 5403155 9725679 16209465 29177037 48628395 145885185