137011 has 12 divisors (see below), whose sum is σ = 168112. Its totient is φ = 109296.

The previous prime is 136999. The next prime is 137029. The reversal of 137011 is 110731.

137011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137011 - 2⁵ = 136979 is a prime.

137011 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 136982 and 137000.

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 11 ways as a sum of consecutive naturals, for example, 3685 + ... + 3721.

2¹³⁷⁰¹¹ is an apocalyptic number.

137011 is a deficient number, since it is larger than the sum of its proper divisors (31101).

137011 is an equidigital number, since it uses as much as digits as its factorization.

137011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 137011 is about 370.1499696069. The cubic root of 137011 is about 51.5527470381.

Adding to 137011 its reverse (110731), we get a palindrome (247742).

The spelling of 137011 in words is "one hundred thirty-seven thousand, eleven".