137795 has 16 divisors (see below), whose sum is σ = 196608. Its totient is φ = 90720.

The previous prime is 137791. The next prime is 137803. The reversal of 137795 is 597731.

137795 = 5² + 6² + ... + 74².

It is not a de Polignac number, because 137795 - 2² = 137791 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (137791) 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 15 ways as a sum of consecutive naturals, for example, 1022 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (12288).

137795 is a Friedman number, since it can be written as 7*(7-5+(3*1)^9), using all its digits and the basic arithmetic operations.

2¹³⁷⁷⁹⁵ is an apocalyptic number.

137795 is a deficient number, since it is larger than the sum of its proper divisors (58813).

137795 is a wasteful number, since it uses less digits than its factorization.

137795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its digits is 6615, while the sum is 32.

The square root of 137795 is about 371.2074891486. The cubic root of 137795 is about 51.6508912411.

The spelling of 137795 in words is "one hundred thirty-seven thousand, seven hundred ninety-five".