137936 has 20 divisors (see below), whose sum is σ = 275652. Its totient is φ = 66816.

The previous prime is 137933. The next prime is 137941. The reversal of 137936 is 639731.

It can be written as a sum of positive squares in 2 ways, for example, as 78400 + 59536 = 280^2 + 244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137899 and 137908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137933) 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 3 ways as a sum of consecutive naturals, for example, 476 + ... + 708.

2¹³⁷⁹³⁶ is an apocalyptic number.

137936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137936 is a deficient number, since it is larger than the sum of its proper divisors (137716).

137936 is a wasteful number, since it uses less digits than its factorization.

137936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 3402, while the sum is 29.

The square root of 137936 is about 371.3973613261. The cubic root of 137936 is about 51.6685026518.

The spelling of 137936 in words is "one hundred thirty-seven thousand, nine hundred thirty-six".