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135135251689 = 1012814761469
BaseRepresentation
bin111110111011010110…
…0000100110011101001
3110220210210211001121211
41331312230010303221
54203224111023224
6142025201233121
712522530454424
oct1756654046351
9426723731554
10135135251689
1152346365799
12222346327a1
13c987a6a3b9
14677d4d69bb
1537adad4894
hex1f76b04ce9

135135251689 has 8 divisors (see below), whose sum is σ = 136958923080. Its totient is φ = 133321104000.

The previous prime is 135135251683. The next prime is 135135251759. The reversal of 135135251689 is 986152531531.

It can be written as a sum of positive squares in 4 ways, for example, as 58119566400 + 77015685289 = 241080^2 + 277517^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135135251689 - 23 = 135135251681 is a prime.

It is a super-3 number, since 3×1351352516893 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135135251681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2352354 + ... + 2409115.

It is an arithmetic number, because the mean of its divisors is an integer number (17119865385).

Almost surely, 2135135251689 is an apocalyptic number.

It is an amenable number.

135135251689 is a deficient number, since it is larger than the sum of its proper divisors (1823671391).

135135251689 is a wasteful number, since it uses less digits than its factorization.

135135251689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761851.

The product of its digits is 972000, while the sum is 49.

It can be divided in two parts, 1351352 and 51689, that added together give a palindrome (1403041).

The spelling of 135135251689 in words is "one hundred thirty-five billion, one hundred thirty-five million, two hundred fifty-one thousand, six hundred eighty-nine".

Divisors: 1 101 281 28381 4761469 480908369 1337972789 135135251689