137945 has 8 divisors (see below), whose sum is σ = 169344. Its totient is φ = 107824.

The previous prime is 137941. The next prime is 137947. The reversal of 137945 is 549731.

137945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137945 - 2² = 137941 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2¹³⁷⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

137945 is a deficient number, since it is larger than the sum of its proper divisors (31399).

137945 is an equidigital number, since it uses as much as digits as its factorization.

137945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639.

The product of its digits is 3780, while the sum is 29.

The square root of 137945 is about 371.4094775312. The cubic root of 137945 is about 51.6696263769.

It can be divided in two parts, 13 and 7945, that multiplied together give a triangular number (103285 = T₄₅₄).

The spelling of 137945 in words is "one hundred thirty-seven thousand, nine hundred forty-five".