152224000 has 144 divisors (see below), whose sum is σ = 390289536. Its totient is φ = 59136000.

The previous prime is 152223989. The next prime is 152224013. The reversal of 152224000 is 422251.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2143965 + ... + 2144035.

It is an arithmetic number, because the mean of its divisors is an integer number (2710344).

Almost surely, 2^152224000 is an apocalyptic number.

152224000 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 152224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195144768).

152224000 is an abundant number, since it is smaller than the sum of its proper divisors (238065536).

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

152224000 is an frugal number, since it uses more digits than its factorization.

152224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 152224000 is about 12337.9090611011. The cubic root of 152224000 is about 533.9423598284.

Adding to 152224000 its reverse (422251), we get a palindrome (152646251).

The spelling of 152224000 in words is "one hundred fifty-two million, two hundred twenty-four thousand".