136738368 has 140 divisors (see below), whose sum is σ = 436730140. Its totient is φ = 42052608.

The previous prime is 136738363. The next prime is 136738379. The reversal of 136738368 is 863837631.

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 47775744 = 9432^2 + 6912^2 .

It is not an unprimeable number, because it can be changed into a prime (136738363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66378 + ... + 68406.

It is an arithmetic number, because the mean of its divisors is an integer number (3119501).

Almost surely, 2^136738368 is an apocalyptic number.

136738368 is a gapful number since it is divisible by the number (18) 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 136738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218365070).

136738368 is an abundant number, since it is smaller than the sum of its proper divisors (299991772).

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

136738368 is a wasteful number, since it uses less digits than its factorization.

136738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2047 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 136738368 is about 11693.5182045439. The cubic root of 136738368 is about 515.1853017166.

The spelling of 136738368 in words is "one hundred thirty-six million, seven hundred thirty-eight thousand, three hundred sixty-eight".