137835 has 16 divisors (see below), whose sum is σ = 245280. Its totient is φ = 73440.

The previous prime is 137831. The next prime is 137849. The reversal of 137835 is 538731.

137835 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 137835 - 2² = 137831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137799 and 137808.

It is not an unprimeable number, because it can be changed into a prime (137831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (15330).

2¹³⁷⁸³⁵ is an apocalyptic number.

137835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137835 is a deficient number, since it is larger than the sum of its proper divisors (107445).

137835 is a wasteful number, since it uses less digits than its factorization.

137835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 137835 is about 371.2613634625. The cubic root of 137835 is about 51.6558886062.

The spelling of 137835 in words is "one hundred thirty-seven thousand, eight hundred thirty-five".