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83135453137 = 11232459133631
BaseRepresentation
bin100110101101101000…
…0100101011111010001
321221120212000121002221
41031123100211133101
52330230134000022
6102105241141041
76002113456252
oct1153320453721
9257525017087
1083135453137
1132291883470
1214141a8a781
137abb8c3c29
144049360b29
1522688bbcc7
hex135b4257d1

83135453137 has 16 divisors (see below), whose sum is σ = 94675599360. Its totient is φ = 72261758800.

The previous prime is 83135453129. The next prime is 83135453161. The reversal of 83135453137 is 73135453138.

It is not a de Polignac number, because 83135453137 - 23 = 83135453129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83135453093 and 83135453102.

It is not an unprimeable number, because it can be changed into a prime (83135453197) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 555312 + ... + 688942.

It is an arithmetic number, because the mean of its divisors is an integer number (5917224960).

Almost surely, 283135453137 is an apocalyptic number.

It is an amenable number.

83135453137 is a deficient number, since it is larger than the sum of its proper divisors (11540146223).

83135453137 is a wasteful number, since it uses less digits than its factorization.

83135453137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136124.

The product of its digits is 453600, while the sum is 43.

Subtracting from 83135453137 its reverse (73135453138), we obtain a palindrome (9999999999).

The spelling of 83135453137 in words is "eighty-three billion, one hundred thirty-five million, four hundred fifty-three thousand, one hundred thirty-seven".

Divisors: 1 11 23 253 2459 27049 56557 133631 622127 1469941 3073513 33808643 328598629 3614584919 7557768467 83135453137