74137 has 12 divisors (see below), whose sum is σ = 92340. Its totient is φ = 59136.

The previous prime is 74131. The next prime is 74143. The reversal of 74137 is 73147.

It is an interprime number because it is at equal distance from previous prime (74131) and next prime (74143).

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 38416 = 189^2 + 196^2 .

It is not a de Polignac number, because 74137 - 2¹¹ = 72089 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 (74131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 789 + ... + 877.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2⁷⁴¹³⁷ is an apocalyptic number.

It is an amenable number.

74137 is a deficient number, since it is larger than the sum of its proper divisors (18203).

74137 is a wasteful number, since it uses less digits than its factorization.

74137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its digits is 588, while the sum is 22.

The square root of 74137 is about 272.2811047429. The cubic root of 74137 is about 42.0092572187.

Subtracting from 74137 its reverse (73147), we obtain a triangular number (990 = T₄₄).

The spelling of 74137 in words is "seventy-four thousand, one hundred thirty-seven".