136116864 has 192 divisors, whose sum is σ = 431613000. Its totient is φ = 40919040.

The previous prime is 136116863. The next prime is 136116881. The reversal of 136116864 is 468611631.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 108993600 = 5208^2 + 10440^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (136116863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913462 + ... + 913610.

Almost surely, 2^136116864 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 136116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215806500).

136116864 is an abundant number, since it is smaller than the sum of its proper divisors (295496136).

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

136116864 is a wasteful number, since it uses less digits than its factorization.

136116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 136116864 is about 11666.9132164425. The cubic root of 136116864 is about 514.4035751037.

It can be divided in two parts, 1361 and 16864, that added together give a square (18225 = 135²).

The spelling of 136116864 in words is "one hundred thirty-six million, one hundred sixteen thousand, eight hundred sixty-four".