137057 has 8 divisors (see below), whose sum is σ = 146880. Its totient is φ = 127600.

The previous prime is 137029. The next prime is 137077. The reversal of 137057 is 750731.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137057 - 2⁶ = 136993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1307 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2¹³⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

137057 is a deficient number, since it is larger than the sum of its proper divisors (9823).

137057 is a wasteful number, since it uses less digits than its factorization.

137057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 137057 is about 370.2121013689. The cubic root of 137057 is about 51.5585158232.

Adding to 137057 its reverse (750731), we get a palindrome (887788).

The spelling of 137057 in words is "one hundred thirty-seven thousand, fifty-seven".