136968 has 32 divisors (see below), whose sum is σ = 369600. Its totient is φ = 42048.

The previous prime is 136963. The next prime is 136973. The reversal of 136968 is 869631.

It is an interprime number because it is at equal distance from previous prime (136963) and next prime (136973).

It is not an unprimeable number, because it can be changed into a prime (136963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (11550).

2¹³⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184800).

136968 is an abundant number, since it is smaller than the sum of its proper divisors (232632).

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

136968 is a wasteful number, since it uses less digits than its factorization.

136968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 136968 is about 370.0918804838. The cubic root of 136968 is about 51.5473533104.

The spelling of 136968 in words is "one hundred thirty-six thousand, nine hundred sixty-eight".