137457 has 10 divisors (see below), whose sum is σ = 205458. Its totient is φ = 91584.

The previous prime is 137453. The next prime is 137477. The reversal of 137457 is 754731.

It can be written as a sum of positive squares in only one way, i.e., 136161 + 1296 = 369^2 + 36^2 .

It is not a de Polignac number, because 137457 - 2² = 137453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 137457.

It is not an unprimeable number, because it can be changed into a prime (137453) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 768 + ... + 929.

2¹³⁷⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

137457 is a deficient number, since it is larger than the sum of its proper divisors (68001).

137457 is an equidigital number, since it uses as much as digits as its factorization.

137457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1700 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 137457 is about 370.7519386328. The cubic root of 137457 is about 51.6086248428.

It can be divided in two parts, 1374 and 57, that added together give a triangular number (1431 = T₅₃).

The spelling of 137457 in words is "one hundred thirty-seven thousand, four hundred fifty-seven".