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137731745341 = 1729279374737
BaseRepresentation
bin1000000001000101110…
…0111010011000111101
3111011111202120121022101
42000101130322120331
54224033311322331
6143134553145101
712644056342651
oct2002134723075
9434452517271
10137731745341
1153458a85913
122283a0bb191
13ccac983388
1469482a4a61
1538b1a21061
hex201173a63d

137731745341 has 8 divisors (see below), whose sum is σ = 150862358520. Its totient is φ = 125159881728.

The previous prime is 137731745323. The next prime is 137731745369. The reversal of 137731745341 is 143547137731.

It can be written as a sum of positive squares in 4 ways, for example, as 69912648100 + 67819097241 = 264410^2 + 260421^2 .

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

It is not a de Polignac number, because 137731745341 - 219 = 137731221053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137731745291 and 137731745300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137731745441) 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, 139686876 + ... + 139687861.

It is an arithmetic number, because the mean of its divisors is an integer number (18857794815).

Almost surely, 2137731745341 is an apocalyptic number.

It is an amenable number.

137731745341 is a deficient number, since it is larger than the sum of its proper divisors (13130613179).

137731745341 is a wasteful number, since it uses less digits than its factorization.

137731745341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279374783.

The product of its digits is 740880, while the sum is 46.

The spelling of 137731745341 in words is "one hundred thirty-seven billion, seven hundred thirty-one million, seven hundred forty-five thousand, three hundred forty-one".

Divisors: 1 17 29 493 279374737 4749370529 8101867373 137731745341