152824733208 has 256 divisors, whose sum is σ = 494992512000. Its totient is φ = 42786911232.

The previous prime is 152824733207. The next prime is 152824733219. The reversal of 152824733208 is 802337428251.

152824733208 is a `hidden beast` number, since 1 + 5 + 282 + 47 + 3 + 320 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152824733203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17324623 + ... + 17333441.

It is an arithmetic number, because the mean of its divisors is an integer number (1933564500).

Almost surely, 2^152824733208 is an apocalyptic number.

152824733208 is a gapful number since it is divisible by the number (18) 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 152824733208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247496256000).

152824733208 is an abundant number, since it is smaller than the sum of its proper divisors (342167778792).

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

152824733208 is a wasteful number, since it uses less digits than its factorization.

152824733208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9071 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 152824733208 in words is "one hundred fifty-two billion, eight hundred twenty-four million, seven hundred thirty-three thousand, two hundred eight".