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137819841 = 323286843
BaseRepresentation
bin10000011011011…
…11011011000001
3100121022222021120
420031233123001
5240240213331
621401542453
73262310055
oct1015573301
9317288246
10137819841
11708830a5
123a1a4a29
1322725c03
1414437c65
15c175796
hex836f6c1

137819841 has 12 divisors (see below), whose sum is σ = 192098928. Its totient is φ = 87884104.

The previous prime is 137819837. The next prime is 137819849. The reversal of 137819841 is 148918731.

137819841 is nontrivially palindromic in base 2.

137819841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137819841 - 22 = 137819837 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137819793 and 137819802.

It is not an unprimeable number, because it can be changed into a prime (137819849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41835 + ... + 45008.

It is an arithmetic number, because the mean of its divisors is an integer number (16008244).

Almost surely, 2137819841 is an apocalyptic number.

It is an amenable number.

137819841 is a deficient number, since it is larger than the sum of its proper divisors (54279087).

137819841 is an equidigital number, since it uses as much as digits as its factorization.

137819841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86892 (or 86869 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 137819841 is about 11739.6695439011. The cubic root of 137819841 is about 516.5399484356.

The spelling of 137819841 in words is "one hundred thirty-seven million, eight hundred nineteen thousand, eight hundred forty-one".

Divisors: 1 3 23 69 529 1587 86843 260529 1997389 5992167 45939947 137819841