137924 has 18 divisors (see below), whose sum is σ = 256074. Its totient is φ = 64960.

The previous prime is 137911. The next prime is 137927. The reversal of 137924 is 429731.

It can be written as a sum of positive squares in 3 ways, for example, as 2500 + 135424 = 50^2 + 368^2 .

It is a d-powerful number, because it can be written as 1 + 3³ + 9⁴ + 7 + 2¹⁷ + 4⁴ .

Its product of digits (1512) is a multiple of the sum of its prime divisors (72).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 137893 and 137902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137927) by changing a digit.

137924 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 3344 + ... + 3384.

137924 is a Friedman number, since it can be written as 7*(21+3^9)-4, using all its digits and the basic arithmetic operations.

2¹³⁷⁹²⁴ is an apocalyptic number.

It is an amenable number.

137924 is a deficient number, since it is larger than the sum of its proper divisors (118150).

137924 is a wasteful number, since it uses less digits than its factorization.

137924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 137924 is about 371.3812057711. The cubic root of 137924 is about 51.6670042757.

The spelling of 137924 in words is "one hundred thirty-seven thousand, nine hundred twenty-four".