136224000 has 432 divisors, whose sum is σ = 547170624. Its totient is φ = 32256000.

The previous prime is 136223929. The next prime is 136224007. The reversal of 136224000 is 422631.

It is a happy number.

136224000 is a `hidden beast` number, since 1 + 3 + 622 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136224007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167979 + ... + 3168021.

Almost surely, 2^136224000 is an apocalyptic number.

136224000 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 136224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273585312).

136224000 is an abundant number, since it is smaller than the sum of its proper divisors (410946624).

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

136224000 is a wasteful number, since it uses less digits than its factorization.

136224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 136224000 is about 11671.5037591563. The cubic root of 136224000 is about 514.5385000670.

Adding to 136224000 its reverse (422631), we get a palindrome (136646631).

The spelling of 136224000 in words is "one hundred thirty-six million, two hundred twenty-four thousand".