137557 has 8 divisors (see below), whose sum is σ = 161216. Its totient is φ = 114912.

The previous prime is 137537. The next prime is 137567. The reversal of 137557 is 755731.

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

It is not a de Polignac number, because 137557 - 2¹⁵ = 104789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137507) 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, 73 + ... + 529.

It is an arithmetic number, because the mean of its divisors is an integer number (20152).

2¹³⁷⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

137557 is a deficient number, since it is larger than the sum of its proper divisors (23659).

137557 is an equidigital number, since it uses as much as digits as its factorization.

137557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507.

The product of its digits is 3675, while the sum is 28.

The square root of 137557 is about 370.8867751754. The cubic root of 137557 is about 51.6211369047.

The spelling of 137557 in words is "one hundred thirty-seven thousand, five hundred fifty-seven".