152224315040 has 192 divisors, whose sum is σ = 429648758784. Its totient is φ = 49832014848.

The previous prime is 152224315039. The next prime is 152224315069. The reversal of 152224315040 is 40513422251.

It is a junction number, because it is equal to n+sod(n) for n = 152224314994 and 152224315012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15116087 + ... + 15126153.

It is an arithmetic number, because the mean of its divisors is an integer number (2237753952).

Almost surely, 2^152224315040 is an apocalyptic number.

152224315040 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 152224315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214824379392).

152224315040 is an abundant number, since it is smaller than the sum of its proper divisors (277424443744).

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

152224315040 is a wasteful number, since it uses less digits than its factorization.

152224315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10699 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 152224315040 its reverse (40513422251), we get a palindrome (192737737291).

The spelling of 152224315040 in words is "one hundred fifty-two billion, two hundred twenty-four million, three hundred fifteen thousand, forty".