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137326861 = 7229241401
BaseRepresentation
bin10000010111101…
…11000100001101
3100120101221001001
420023313010031
5240123424421
621343220301
73255154600
oct1013670415
9316357031
10137326861
1170576781
1239ba7691
13225b26c9
141434a337
15c0c9691
hex82f710d

137326861 has 24 divisors (see below), whose sum is σ = 166355640. Its totient is φ = 112896000.

The previous prime is 137326853. The next prime is 137326879. The reversal of 137326861 is 168623731.

It can be written as a sum of positive squares in 4 ways, for example, as 81540900 + 55785961 = 9030^2 + 7469^2 .

It is not a de Polignac number, because 137326861 - 23 = 137326853 is a prime.

It is a super-2 number, since 2×1373268612 = 37717333504226642, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137326861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137320861) 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 23 ways as a sum of consecutive naturals, for example, 342261 + ... + 342661.

It is an arithmetic number, because the mean of its divisors is an integer number (6931485).

Almost surely, 2137326861 is an apocalyptic number.

It is an amenable number.

137326861 is a deficient number, since it is larger than the sum of its proper divisors (29028779).

137326861 is a wasteful number, since it uses less digits than its factorization.

137326861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 137326861 is about 11718.6544022767. The cubic root of 137326861 is about 515.9233267984.

The spelling of 137326861 in words is "one hundred thirty-seven million, three hundred twenty-six thousand, eight hundred sixty-one".

Divisors: 1 7 29 49 203 241 401 1421 1687 2807 6989 11629 11809 19649 48923 81403 96641 342461 569821 676487 2802589 4735409 19618123 137326861