146399996160 has 1008 divisors, whose sum is σ = 608030478720. Its totient is φ = 33363394560.

The previous prime is 146399996137. The next prime is 146399996173. The reversal of 146399996160 is 61699993641.

146399996160 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 9 + 9 + 9 + 9 + 616 + 0 = 666.

146399996160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 111 ways as a sum of consecutive naturals, for example, 174493021 + ... + 174493859.

It is an arithmetic number, because the mean of its divisors is an integer number (603204840).

Almost surely, 2^146399996160 is an apocalyptic number.

146399996160 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 146399996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304015239360).

146399996160 is an abundant number, since it is smaller than the sum of its proper divisors (461630482560).

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

146399996160 is an equidigital number, since it uses as much as digits as its factorization.

146399996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 146399996160 in words is "one hundred forty-six billion, three hundred ninety-nine million, nine hundred ninety-six thousand, one hundred sixty".