152203461120 has 960 divisors, whose sum is σ = 579112934400. Its totient is φ = 36818288640.

The previous prime is 152203461097. The next prime is 152203461133. The reversal of 152203461120 is 21164302251.

152203461120 is a `hidden beast` number, since 1 + 5 + 2 + 20 + 3 + 4 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1833776599 + ... + 1833776681.

It is an arithmetic number, because the mean of its divisors is an integer number (603242640).

Almost surely, 2^152203461120 is an apocalyptic number.

152203461120 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 152203461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289556467200).

152203461120 is an abundant number, since it is smaller than the sum of its proper divisors (426909473280).

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

152203461120 is a wasteful number, since it uses less digits than its factorization.

152203461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 152203461120 its reverse (21164302251), we get a palindrome (173367763371).

The spelling of 152203461120 in words is "one hundred fifty-two billion, two hundred three million, four hundred sixty-one thousand, one hundred twenty".