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137035254013 = 73643621337
BaseRepresentation
bin111111110011111110…
…0000000100011111101
3111002201020000011211021
41333213330000203331
54221122011112023
6142541513024141
712620601304000
oct1774774004375
9432636004737
10137035254013
1153130912649
12226849b5051
13cbcb5a2028
1468bd9a1537
1538707e335d
hex1fe7f008fd

137035254013 has 16 divisors (see below), whose sum is σ = 160056668800. Its totient is φ = 117275927328.

The previous prime is 137035254011. The next prime is 137035254047. The reversal of 137035254013 is 310452530731.

It is not a de Polignac number, because 137035254013 - 21 = 137035254011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137035254013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137035254011) 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 15 ways as a sum of consecutive naturals, for example, 90120 + ... + 531217.

It is an arithmetic number, because the mean of its divisors is an integer number (10003541800).

Almost surely, 2137035254013 is an apocalyptic number.

It is an amenable number.

137035254013 is a deficient number, since it is larger than the sum of its proper divisors (23021414787).

137035254013 is an frugal number, since it uses more digits than its factorization.

137035254013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622001 (or 621987 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

Adding to 137035254013 its reverse (310452530731), we get a palindrome (447487784744).

The spelling of 137035254013 in words is "one hundred thirty-seven billion, thirty-five million, two hundred fifty-four thousand, thirteen".

Divisors: 1 7 49 343 643 4501 31507 220549 621337 4349359 30445513 213118591 399519691 2796637837 19576464859 137035254013