136368 has 30 divisors (see below), whose sum is σ = 382044. Its totient is φ = 45408.

The previous prime is 136361. The next prime is 136373. The reversal of 136368 is 863631.

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

It is not an unprimeable number, because it can be changed into a prime (136361) 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, 330 + ... + 617.

2¹³⁶³⁶⁸ is an apocalyptic number.

136368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136368 is an abundant number, since it is smaller than the sum of its proper divisors (245676).

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

136368 is a wasteful number, since it uses less digits than its factorization.

136368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 952 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 136368 is about 369.2803812823. The cubic root of 136368 is about 51.4719739427.

Adding to 136368 its reverse (863631), we get a palindrome (999999).

It can be divided in two parts, 1363 and 68, that added together give a triangular number (1431 = T₅₃).

The spelling of 136368 in words is "one hundred thirty-six thousand, three hundred sixty-eight".