136824000 has 112 divisors (see below), whose sum is σ = 451872096. Its totient is φ = 36480000.

The previous prime is 136823989. The next prime is 136824043. The reversal of 136824000 is 428631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21150 + ... + 26850.

Almost surely, 2^136824000 is an apocalyptic number.

136824000 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 136824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225936048).

136824000 is an abundant number, since it is smaller than the sum of its proper divisors (315048096).

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

136824000 is an equidigital number, since it uses as much as digits as its factorization.

136824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 136824000 is about 11697.1791471277. The cubic root of 136824000 is about 515.2928237003.

The spelling of 136824000 in words is "one hundred thirty-six million, eight hundred twenty-four thousand".