152533425120 has 384 divisors, whose sum is σ = 505407651840. Its totient is φ = 38618603520.

The previous prime is 152533425067. The next prime is 152533425179. The reversal of 152533425120 is 21524335251.

152533425120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273847882 + ... + 273848438.

It is an arithmetic number, because the mean of its divisors is an integer number (1316165760).

Almost surely, 2^152533425120 is an apocalyptic number.

152533425120 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 152533425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252703825920).

152533425120 is an abundant number, since it is smaller than the sum of its proper divisors (352874226720).

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

152533425120 is a wasteful number, since it uses less digits than its factorization.

152533425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 152533425120 in words is "one hundred fifty-two billion, five hundred thirty-three million, four hundred twenty-five thousand, one hundred twenty".