137475 has 36 divisors (see below), whose sum is σ = 270816. Its totient is φ = 66240.

The previous prime is 137453. The next prime is 137477. The reversal of 137475 is 574731.

It is not a de Polignac number, because 137475 - 2⁵ = 137443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2902 + ... + 2948.

2¹³⁷⁴⁷⁵ is an apocalyptic number.

137475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137475 is a deficient number, since it is larger than the sum of its proper divisors (133341).

137475 is a wasteful number, since it uses less digits than its factorization.

137475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

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

The square root of 137475 is about 370.7762128292. The cubic root of 137475 is about 51.6108774617.

The spelling of 137475 in words is "one hundred thirty-seven thousand, four hundred seventy-five".