152819680320 has 840 divisors, whose sum is σ = 591836155416. Its totient is φ = 37299585024.

The previous prime is 152819680319. The next prime is 152819680331. The reversal of 152819680320 is 23086918251.

152819680320 is a `hidden beast` number, since 1 + 528 + 1 + 96 + 8 + 0 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19249897536 + 133569782784 = 138744^2 + 365472^2 .

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 973373682 + ... + 973373838.

Almost surely, 2^152819680320 is an apocalyptic number.

152819680320 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 152819680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295918077708).

152819680320 is an abundant number, since it is smaller than the sum of its proper divisors (439016475096).

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

152819680320 is a wasteful number, since it uses less digits than its factorization.

152819680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 152819680320 in words is "one hundred fifty-two billion, eight hundred nineteen million, six hundred eighty thousand, three hundred twenty".