152394439680 has 792 divisors, whose sum is σ = 625321031712. Its totient is φ = 33591656448.

The previous prime is 152394439667. The next prime is 152394439693. The reversal of 152394439680 is 86934493251.

152394439680 is a `hidden beast` number, since 1 + 5 + 2 + 39 + 443 + 96 + 80 = 666.

152394439680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152394439667) and next prime (152394439693).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1348623304 + ... + 1348623416.

Almost surely, 2^152394439680 is an apocalyptic number.

152394439680 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 152394439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312660515856).

152394439680 is an abundant number, since it is smaller than the sum of its proper divisors (472926592032).

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

152394439680 is a wasteful number, since it uses less digits than its factorization.

152394439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 152394439680 in words is "one hundred fifty-two billion, three hundred ninety-four million, four hundred thirty-nine thousand, six hundred eighty".