136718064 has 160 divisors (see below), whose sum is σ = 464256000. Its totient is φ = 37691136.

The previous prime is 136718041. The next prime is 136718069. The reversal of 136718064 is 460817631.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136718069) 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 31 ways as a sum of consecutive naturals, for example, 86917 + ... + 88475.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2^136718064 is an apocalyptic number.

136718064 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 136718064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128000).

136718064 is an abundant number, since it is smaller than the sum of its proper divisors (327537936).

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

136718064 is a wasteful number, since it uses less digits than its factorization.

136718064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 136718064 is about 11692.6499990379. The cubic root of 136718064 is about 515.1598008512.

The spelling of 136718064 in words is "one hundred thirty-six million, seven hundred eighteen thousand, sixty-four".