136391344128 has 480 divisors, whose sum is σ = 447654889920. Its totient is φ = 40768634880.

The previous prime is 136391344127. The next prime is 136391344129. The reversal of 136391344128 is 821443193631.

136391344128 is a `hidden beast` number, since 1 + 3 + 639 + 1 + 3 + 4 + 4 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (136391344127) and next prime (136391344129).

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 (136391344127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212778688 + ... + 212779328.

It is an arithmetic number, because the mean of its divisors is an integer number (932614354).

Almost surely, 2^136391344128 is an apocalyptic number.

136391344128 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 136391344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223827444960).

136391344128 is an abundant number, since it is smaller than the sum of its proper divisors (311263545792).

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

136391344128 is an equidigital number, since it uses as much as digits as its factorization.

136391344128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 696 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

It can be divided in two parts, 1363913 and 44128, that added together give a palindrome (1408041).

The spelling of 136391344128 in words is "one hundred thirty-six billion, three hundred ninety-one million, three hundred forty-four thousand, one hundred twenty-eight".