136824320 has 160 divisors (see below), whose sum is σ = 360914400. Its totient is φ = 49545216.

The previous prime is 136824299. The next prime is 136824329. The reversal of 136824320 is 23428631.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136824329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410512 + ... + 1410608.

It is an arithmetic number, because the mean of its divisors is an integer number (2255715).

Almost surely, 2^136824320 is an apocalyptic number.

136824320 is a gapful number since it is divisible by the number (10) 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 136824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180457200).

136824320 is an abundant number, since it is smaller than the sum of its proper divisors (224090080).

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

136824320 is an equidigital number, since it uses as much as digits as its factorization.

136824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 136824320 is about 11697.1928256313. The cubic root of 136824320 is about 515.2932254173.

The spelling of 136824320 in words is "one hundred thirty-six million, eight hundred twenty-four thousand, three hundred twenty".