136845 has 12 divisors (see below), whose sum is σ = 237276. Its totient is φ = 72960.

The previous prime is 136841. The next prime is 136849. The reversal of 136845 is 548631.

It is an interprime number because it is at equal distance from previous prime (136841) and next prime (136849).

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 35721 = 318^2 + 189^2 .

It is not a de Polignac number, because 136845 - 2² = 136841 is a prime.

136845 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136841) 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, 1476 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (19773).

2¹³⁶⁸⁴⁵ is an apocalyptic number.

136845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136845 is a deficient number, since it is larger than the sum of its proper divisors (100431).

136845 is a wasteful number, since it uses less digits than its factorization.

136845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3049 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 136845 is about 369.9256682092. The cubic root of 136845 is about 51.5319185050.

It can be divided in two parts, 13684 and 5, that added together give a square (13689 = 117²).

The spelling of 136845 in words is "one hundred thirty-six thousand, eight hundred forty-five".