136692 has 18 divisors (see below), whose sum is σ = 345618. Its totient is φ = 45552.

The previous prime is 136691. The next prime is 136693. The reversal of 136692 is 296631.

It is a happy number.

136692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136691) and next prime (136693).

It can be written as a sum of positive squares in only one way, i.e., 76176 + 60516 = 276^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136692.

It is not an unprimeable number, because it can be changed into a prime (136691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1863 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (19201).

2¹³⁶⁶⁹² is an apocalyptic number.

136692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136692 is an abundant number, since it is smaller than the sum of its proper divisors (208926).

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

136692 is a wasteful number, since it uses less digits than its factorization.

136692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3802 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 136692 is about 369.7188120721. The cubic root of 136692 is about 51.5127061997.

It can be divided in two parts, 136 and 692, that added together give a palindrome (828).

The spelling of 136692 in words is "one hundred thirty-six thousand, six hundred ninety-two".