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135456323654531 = 1121497513246639
BaseRepresentation
bin11110110011001001100010…
…000011011101001110000011
3122202121111110002120220000202
4132303021202003131032003
5120223304022323421111
61200031435342035415
740350252655425155
oct3663114203351603
9582544402526022
10135456323654531
113a184782400400
1213238414878b6b
135a77626b839c9
14256419a216ad5
15109d7e32c3b3b
hex7b32620dd383

135456323654531 has 12 divisors (see below), whose sum is σ = 149889270468000. Its totient is φ = 122315655266640.

The previous prime is 135456323654521. The next prime is 135456323654537.

135456323654531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135456323654531 - 230 = 135455249912707 is a prime.

It is a super-2 number, since 2×1354563236545312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135456323654537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3756605291 + ... + 3756641348.

It is an arithmetic number, because the mean of its divisors is an integer number (12490772539000).

Almost surely, 2135456323654531 is an apocalyptic number.

135456323654531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135456323654531 is a deficient number, since it is larger than the sum of its proper divisors (14432946813469).

135456323654531 is a wasteful number, since it uses less digits than its factorization.

135456323654531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513246810 (or 7513246799 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 56.

The spelling of 135456323654531 in words is "one hundred thirty-five trillion, four hundred fifty-six billion, three hundred twenty-three million, six hundred fifty-four thousand, five hundred thirty-one".

Divisors: 1 11 121 149 1639 18029 7513246639 82645713029 909102843319 1119473749211 12314211241321 135456323654531