137985 has 8 divisors (see below), whose sum is σ = 220800. Its totient is φ = 73584.

The previous prime is 137983. The next prime is 137993. The reversal of 137985 is 589731.

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

It is not a de Polignac number, because 137985 - 2¹ = 137983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137983) 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, 4585 + ... + 4614.

It is an arithmetic number, because the mean of its divisors is an integer number (27600).

2¹³⁷⁹⁸⁵ is an apocalyptic number.

137985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137985 is a deficient number, since it is larger than the sum of its proper divisors (82815).

137985 is an equidigital number, since it uses as much as digits as its factorization.

137985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9207.

The product of its digits is 7560, while the sum is 33.

The square root of 137985 is about 371.4633225502. The cubic root of 137985 is about 51.6746201191.

The spelling of 137985 in words is "one hundred thirty-seven thousand, nine hundred eighty-five".