136864 has 48 divisors (see below), whose sum is σ = 338688. Its totient is φ = 52992.

The previous prime is 136861. The next prime is 136879. The reversal of 136864 is 468631.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136861) 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, 2889 + ... + 2935.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2¹³⁶⁸⁶⁴ is an apocalyptic number.

136864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

136864 is an abundant number, since it is smaller than the sum of its proper divisors (201824).

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

136864 is a wasteful number, since it uses less digits than its factorization.

136864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 136864 is about 369.9513481527. The cubic root of 136864 is about 51.5343033470.

It can be divided in two parts, 136 and 864, that added together give a cube (1000 = 10³).

The spelling of 136864 in words is "one hundred thirty-six thousand, eight hundred sixty-four".