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137531065781 = 1744918017957
BaseRepresentation
bin1000000000010101111…
…1011000010110110101
3111010222202222000201002
42000011133120112311
54223130423101111
6143103024013045
712636101525234
oct2000537302665
9433882860632
10137531065781
115336577933a
12227a2a61185
13cc7a21b985
146929786b1b
15389e0d063b
hex20057d85b5

137531065781 has 8 divisors (see below), whose sum is σ = 145945459800. Its totient is φ = 129152708608.

The previous prime is 137531065769. The next prime is 137531065823. The reversal of 137531065781 is 187560135731.

It can be written as a sum of positive squares in 4 ways, for example, as 21914065156 + 115617000625 = 148034^2 + 340025^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 137531065781 - 218 = 137530803637 is a prime.

It is a super-2 number, since 2×1375310657812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137531065751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9001346 + ... + 9016611.

It is an arithmetic number, because the mean of its divisors is an integer number (18243182475).

Almost surely, 2137531065781 is an apocalyptic number.

It is an amenable number.

137531065781 is a deficient number, since it is larger than the sum of its proper divisors (8414394019).

137531065781 is a wasteful number, since it uses less digits than its factorization.

137531065781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18018423.

The product of its (nonzero) digits is 529200, while the sum is 47.

The spelling of 137531065781 in words is "one hundred thirty-seven billion, five hundred thirty-one million, sixty-five thousand, seven hundred eighty-one".

Divisors: 1 17 449 7633 18017957 306305269 8090062693 137531065781