136890 has 60 divisors (see below), whose sum is σ = 398574. Its totient is φ = 33696.

The previous prime is 136889. The next prime is 136897. The reversal of 136890 is 98631.

136890 is nontrivially palindromic in base 12.

136890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 59049 + 77841 = 243^2 + 279^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (136897) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10524 + ... + 10536.

2¹³⁶⁸⁹⁰ is an apocalyptic number.

136890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199287).

136890 is an abundant number, since it is smaller than the sum of its proper divisors (261684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136890 is a wasteful number, since it uses less digits than its factorization.

136890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 136890 is about 369.9864862397. The cubic root of 136890 is about 51.5375664575.

It can be divided in two parts, 13 and 6890, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 136890 in words is "one hundred thirty-six thousand, eight hundred ninety".