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137741102681 = 7132516960139
BaseRepresentation
bin1000000001001000000…
…0100110111001011001
3111011112102012000011112
42000102000212321121
54224043210241211
6143135525510105
712644232024560
oct2002200467131
9434472160145
10137741102681
1153463297156
1222841272335
13ccb18ab570
14694961cbd7
1538b276d88b
hex2012026e59

137741102681 has 16 divisors (see below), whose sum is σ = 169537065600. Its totient is φ = 108975829248.

The previous prime is 137741102663. The next prime is 137741102689. The reversal of 137741102681 is 186201147731.

It is not a de Polignac number, because 137741102681 - 234 = 120561233497 is a prime.

It is a super-2 number, since 2×1377411026812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137741102689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2260310 + ... + 2320448.

It is an arithmetic number, because the mean of its divisors is an integer number (10596066600).

Almost surely, 2137741102681 is an apocalyptic number.

It is an amenable number.

137741102681 is a deficient number, since it is larger than the sum of its proper divisors (31795962919).

137741102681 is a wasteful number, since it uses less digits than its factorization.

137741102681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85328.

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 137741102681 in words is "one hundred thirty-seven billion, seven hundred forty-one million, one hundred two thousand, six hundred eighty-one".

Divisors: 1 7 13 91 25169 60139 176183 327197 420973 781807 2290379 5472649 1513638491 10595469437 19677300383 137741102681