Search a number
-
+
135042305145 = 35114733152609
BaseRepresentation
bin111110111000100100…
…1100000110001111001
3110220120022220212221020
41331301021200301321
54203031312231040
6142012041133053
712520321440306
oct1756111406171
9426508825836
10135042305145
11522a8951670
122220948a189
13c971726247
1467710200ad
1537a5874cd0
hex1f71260c79

135042305145 has 64 divisors (see below), whose sum is σ = 241457172480. Its totient is φ = 63887155200.

The previous prime is 135042305129. The next prime is 135042305171. The reversal of 135042305145 is 541503240531.

It is not a de Polignac number, because 135042305145 - 24 = 135042305129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 2540601 + ... + 2593209.

It is an arithmetic number, because the mean of its divisors is an integer number (3772768320).

Almost surely, 2135042305145 is an apocalyptic number.

135042305145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135042305145 is a deficient number, since it is larger than the sum of its proper divisors (106414867335).

135042305145 is a wasteful number, since it uses less digits than its factorization.

135042305145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53006.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 135042305145 its reverse (541503240531), we get a palindrome (676545545676).

The spelling of 135042305145 in words is "one hundred thirty-five billion, forty-two million, three hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 47 55 141 165 235 331 517 705 993 1551 1655 2585 3641 4965 7755 10923 15557 18205 46671 52609 54615 77785 157827 171127 233355 263045 513381 578699 789135 855635 1736097 2472623 2566905 2893495 7417869 8680485 12363115 17413579 27198853 37089345 52240737 81596559 87067895 135994265 191549369 261203685 407982795 574648107 818438213 957746845 2455314639 2873240535 4092191065 9002820343 12276573195 27008461029 45014101715 135042305145