137957873 has 4 divisors (see below), whose sum is σ = 146073060. Its totient is φ = 129842688.

The previous prime is 137957861. The next prime is 137957893. The reversal of 137957873 is 378759731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 378759731 = 7 ⋅54108533.

It can be written as a sum of positive squares in 2 ways, for example, as 111661489 + 26296384 = 10567^2 + 5128^2 .

It is a cyclic number.

It is not a de Polignac number, because 137957873 - 2¹⁸ = 137695729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137957893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4057568 + ... + 4057601.

It is an arithmetic number, because the mean of its divisors is an integer number (36518265).

Almost surely, 2^137957873 is an apocalyptic number.

It is an amenable number.

137957873 is a deficient number, since it is larger than the sum of its proper divisors (8115187).

137957873 is an equidigital number, since it uses as much as digits as its factorization.

137957873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8115186.

The product of its digits is 1111320, while the sum is 50.

The square root of 137957873 is about 11745.5469434165. The cubic root of 137957873 is about 516.7123359330.

The spelling of 137957873 in words is "one hundred thirty-seven million, nine hundred fifty-seven thousand, eight hundred seventy-three".