152782225920 has 480 divisors, whose sum is σ = 581043310848. Its totient is φ = 38342688768.

The previous prime is 152782225907. The next prime is 152782225957. The reversal of 152782225920 is 29522287251.

152782225920 is a `hidden beast` number, since 1 + 52 + 7 + 8 + 2 + 2 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10568137 + ... + 10582583.

Almost surely, 2^152782225920 is an apocalyptic number.

152782225920 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 152782225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290521655424).

152782225920 is an abundant number, since it is smaller than the sum of its proper divisors (428261084928).

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

152782225920 is an equidigital number, since it uses as much as digits as its factorization.

152782225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14502 (or 14474 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 152782225920 in words is "one hundred fifty-two billion, seven hundred eighty-two million, two hundred twenty-five thousand, nine hundred twenty".