136813824 has 216 divisors, whose sum is σ = 478296000. Its totient is φ = 36716544.

The previous prime is 136813811. The next prime is 136813847. The reversal of 136813824 is 428318631.

136813824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273927 + ... + 274425.

Almost surely, 2^136813824 is an apocalyptic number.

136813824 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 136813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239148000).

136813824 is an abundant number, since it is smaller than the sum of its proper divisors (341482176).

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

136813824 is a wasteful number, since it uses less digits than its factorization.

136813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 136813824 is about 11696.7441623727. The cubic root of 136813824 is about 515.2800487735.

The spelling of 136813824 in words is "one hundred thirty-six million, eight hundred thirteen thousand, eight hundred twenty-four".