137961 has 6 divisors (see below), whose sum is σ = 199290. Its totient is φ = 91968.

The previous prime is 137957. The next prime is 137983. The reversal of 137961 is 169731.

137961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 47961 = 300^2 + 219^2 .

It is not a de Polignac number, because 137961 - 2² = 137957 is a prime.

It is a Curzon number.

137961 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137961.

It is not an unprimeable number, because it can be changed into a prime (137911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7656 + ... + 7673.

It is an arithmetic number, because the mean of its divisors is an integer number (33215).

2¹³⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

137961 is a deficient number, since it is larger than the sum of its proper divisors (61329).

137961 is a wasteful number, since it uses less digits than its factorization.

137961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15335 (or 15332 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 137961 is about 371.4310164755. The cubic root of 137961 is about 51.6716239896.

The spelling of 137961 in words is "one hundred thirty-seven thousand, nine hundred sixty-one".