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145133251335 = 3453116370919
BaseRepresentation
bin1000011100101010011…
…1011010101100000111
3111212121120211001210000
42013022213122230013
54334213103020320
6150401233132343
713325352165432
oct2071247325407
9455546731700
10145133251335
1156606a33916
12241649ba0b3
13108bc207217
14704b298819
153b966e9c90
hex21ca9dab07

145133251335 has 80 divisors (see below), whose sum is σ = 270208604160. Its totient is φ = 74446879680.

The previous prime is 145133251297. The next prime is 145133251357. The reversal of 145133251335 is 533152331541.

145133251335 is a `hidden beast` number, since 1 + 4 + 5 + 133 + 2 + 513 + 3 + 5 = 666.

145133251335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145133251335 - 26 = 145133251271 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145133251335.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2011006 + ... + 2081924.

It is an arithmetic number, because the mean of its divisors is an integer number (3377607552).

Almost surely, 2145133251335 is an apocalyptic number.

145133251335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145133251335 is a deficient number, since it is larger than the sum of its proper divisors (125075352825).

145133251335 is a wasteful number, since it uses less digits than its factorization.

145133251335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71130 (or 71121 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

Adding to 145133251335 its reverse (533152331541), we get a palindrome (678285582876).

The spelling of 145133251335 in words is "one hundred forty-five billion, one hundred thirty-three million, two hundred fifty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 163 279 405 465 489 815 837 1395 1467 2445 2511 4185 4401 5053 7335 12555 13203 15159 22005 25265 45477 66015 70919 75795 136431 212757 227385 354595 409293 638271 682155 1063785 1914813 2046465 2198489 3191355 5744439 6595467 9574065 10992445 11559797 19786401 28722195 32977335 34679391 57798985 59359203 98932005 104038173 173396955 178077609 296796015 312114519 358353707 520190865 890388045 936343557 1075061121 1560572595 1791768535 3225183363 4681717785 5375305605 9675550089 16125916815 29026650267 48377750445 145133251335