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137094635353 = 1313776976213
BaseRepresentation
bin111111110101101111…
…0100001111101011001
3111002212100202001201011
41333223132201331121
54221232211312403
6142551433453521
712622222113304
oct1775336417531
9432770661634
10137094635353
1153161390735
12226a08712a1
13cc0a993510
1468c781bb3b
153875b22a6d
hex1feb7a1f59

137094635353 has 8 divisors (see below), whose sum is σ = 148718045448. Its totient is φ = 125625177984.

The previous prime is 137094635323. The next prime is 137094635357. The reversal of 137094635353 is 353536490731.

It can be written as a sum of positive squares in 4 ways, for example, as 847275664 + 136247359689 = 29108^2 + 369117^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137094635353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137094635297 and 137094635306.

It is not an unprimeable number, because it can be changed into a prime (137094635357) 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, 38486326 + ... + 38489887.

It is an arithmetic number, because the mean of its divisors is an integer number (18589755681).

Almost surely, 2137094635353 is an apocalyptic number.

137094635353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137094635353 is a deficient number, since it is larger than the sum of its proper divisors (11623410095).

137094635353 is a wasteful number, since it uses less digits than its factorization.

137094635353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76976363.

The product of its (nonzero) digits is 3061800, while the sum is 49.

The spelling of 137094635353 in words is "one hundred thirty-seven billion, ninety-four million, six hundred thirty-five thousand, three hundred fifty-three".

Divisors: 1 13 137 1781 76976213 1000690769 10545741181 137094635353