137805 has 8 divisors (see below), whose sum is σ = 220512. Its totient is φ = 73488.

The previous prime is 137803. The next prime is 137827. The reversal of 137805 is 508731.

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

It is not a de Polignac number, because 137805 - 2¹ = 137803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137803) 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, 4579 + ... + 4608.

It is an arithmetic number, because the mean of its divisors is an integer number (27564).

2¹³⁷⁸⁰⁵ is an apocalyptic number.

137805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137805 is a deficient number, since it is larger than the sum of its proper divisors (82707).

137805 is an equidigital number, since it uses as much as digits as its factorization.

137805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9195.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 137805 is about 371.2209584601. The cubic root of 137805 is about 51.6521406730.

The spelling of 137805 in words is "one hundred thirty-seven thousand, eight hundred five".