136648041402528 has 192 divisors, whose sum is σ = 407051192056320. Its totient is φ = 44578626978816.

The previous prime is 136648041402527. The next prime is 136648041402553. The reversal of 136648041402528 is 825204140846631.

136648041402528 is a `hidden beast` number, since 1 + 3 + 66 + 48 + 0 + 4 + 14 + 0 + 2 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (136648041402527) 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, 1835322550 + ... + 1835397002.

It is an arithmetic number, because the mean of its divisors is an integer number (2120058291960).

Almost surely, 2^{136648041402528} is an apocalyptic number.

136648041402528 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 136648041402528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203525596028160).

136648041402528 is an abundant number, since it is smaller than the sum of its proper divisors (270403150653792).

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

136648041402528 is a wasteful number, since it uses less digits than its factorization.

136648041402528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119716 (or 119702 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 136648041402528 in words is "one hundred thirty-six trillion, six hundred forty-eight billion, forty-one million, four hundred two thousand, five hundred twenty-eight".