152840128320 has 672 divisors, whose sum is σ = 623231631360. Its totient is φ = 33965568000.

The previous prime is 152840128313. The next prime is 152840128361. The reversal of 152840128320 is 23821048251.

It is a happy number.

152840128320 is a `hidden beast` number, since 1 + 528 + 4 + 0 + 128 + 3 + 2 + 0 = 666.

152840128320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 18655425 + ... + 18663615.

Almost surely, 2^152840128320 is an apocalyptic number.

152840128320 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 152840128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311615815680).

152840128320 is an abundant number, since it is smaller than the sum of its proper divisors (470391503040).

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

152840128320 is a wasteful number, since it uses less digits than its factorization.

152840128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 152840128320 in words is "one hundred fifty-two billion, eight hundred forty million, one hundred twenty-eight thousand, three hundred twenty".