137857 has 4 divisors (see below), whose sum is σ = 142336. Its totient is φ = 133380.

The previous prime is 137849. The next prime is 137867. The reversal of 137857 is 758731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 137857 - 2³ = 137849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31), and also a Moran number because the ratio is a prime number: 4447 = 137857 / (1 + 3 + 7 + 8 + 5 + 7).

It is a d-powerful number, because it can be written as 1 + 3⁹ + 8³ + 7 + 5 + 7⁶ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137827) 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, 2193 + ... + 2254.

It is an arithmetic number, because the mean of its divisors is an integer number (35584).

2¹³⁷⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

137857 is a deficient number, since it is larger than the sum of its proper divisors (4479).

137857 is an equidigital number, since it uses as much as digits as its factorization.

137857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478.

The product of its digits is 5880, while the sum is 31.

The square root of 137857 is about 371.2909910030. The cubic root of 137857 is about 51.6586367449.

The spelling of 137857 in words is "one hundred thirty-seven thousand, eight hundred fifty-seven".