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145529136 = 2434112291
BaseRepresentation
bin10001010110010…
…01100100110000
3101010211122110000
420223021210300
5244223413021
622235110000
73414656124
oct1053114460
9333748400
10145529136
1175169215
12408a2300
13241c4c1c
1415483584
15cb99b26
hex8ac9930

145529136 has 50 divisors (see below), whose sum is σ = 421207292. Its totient is φ = 48509280.

The previous prime is 145529107. The next prime is 145529201. The reversal of 145529136 is 631925541.

145529136 is a `hidden beast` number, since 14 + 552 + 91 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145529136.

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 9 ways as a sum of consecutive naturals, for example, 54850 + ... + 57441.

Almost surely, 2145529136 is an apocalyptic number.

145529136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145529136 is an abundant number, since it is smaller than the sum of its proper divisors (275678156).

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

145529136 is a wasteful number, since it uses less digits than its factorization.

145529136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112311 (or 112296 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 145529136 is about 12063.5457474161. The cubic root of 145529136 is about 525.9970603237.

The spelling of 145529136 in words is "one hundred forty-five million, five hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 112291 224582 336873 449164 673746 898328 1010619 1347492 1796656 2021238 2694984 3031857 4042476 5389968 6063714 8084952 9095571 12127428 16169904 18191142 24254856 36382284 48509712 72764568 145529136