136079424 has 168 divisors, whose sum is σ = 445175640. Its totient is φ = 39370752.

The previous prime is 136079423. The next prime is 136079443. The reversal of 136079424 is 424970631.

136079424 is a `hidden beast` number, since 1 + 3 + 607 + 9 + 42 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14197824 + 121881600 = 3768^2 + 11040^2 .

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

It is not an unprimeable number, because it can be changed into a prime (136079423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126762 + ... + 127830.

It is an arithmetic number, because the mean of its divisors is an integer number (2649855).

Almost surely, 2^136079424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222587820).

136079424 is an abundant number, since it is smaller than the sum of its proper divisors (309096216).

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

136079424 is a wasteful number, since it uses less digits than its factorization.

136079424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 136079424 is about 11665.3085685720. The cubic root of 136079424 is about 514.3564072134.

It can be divided in two parts, 136079 and 424, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 136079424 in words is "one hundred thirty-six million, seventy-nine thousand, four hundred twenty-four".