153424000 has 128 divisors (see below), whose sum is σ = 392071680. Its totient is φ = 59673600.

The previous prime is 153423989. The next prime is 153424039. The reversal of 153424000 is 424351.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687889 + ... + 688111.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2^153424000 is an apocalyptic number.

153424000 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 153424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196035840).

153424000 is an abundant number, since it is smaller than the sum of its proper divisors (238647680).

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

153424000 is an equidigital number, since it uses as much as digits as its factorization.

153424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 153424000 is about 12386.4442032409. Note that the first 3 decimals coincide. The cubic root of 153424000 is about 535.3417329327.

Adding to 153424000 its reverse (424351), we get a palindrome (153848351).

The spelling of 153424000 in words is "one hundred fifty-three million, four hundred twenty-four thousand".