137847141 has 12 divisors (see below), whose sum is σ = 201841068. Its totient is φ = 90638784.

The previous prime is 137847113. The next prime is 137847191. The reversal of 137847141 is 141748731.

It can be written as a sum of positive squares in 2 ways, for example, as 119443041 + 18404100 = 10929^2 + 4290^2 .

It is not a de Polignac number, because 137847141 - 2⁶ = 137847077 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137847096 and 137847105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137847191) 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 11 ways as a sum of consecutive naturals, for example, 104250 + ... + 105563.

It is an arithmetic number, because the mean of its divisors is an integer number (16820089).

Almost surely, 2^137847141 is an apocalyptic number.

It is an amenable number.

137847141 is a deficient number, since it is larger than the sum of its proper divisors (63993927).

137847141 is a wasteful number, since it uses less digits than its factorization.

137847141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209892 (or 209889 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 137847141 is about 11740.8322107081. The cubic root of 137847141 is about 516.5740524018.

The spelling of 137847141 in words is "one hundred thirty-seven million, eight hundred forty-seven thousand, one hundred forty-one".