146809630380 has 192 divisors, whose sum is σ = 480244423680. Its totient is φ = 32815742976.

The previous prime is 146809630327. The next prime is 146809630403. The reversal of 146809630380 is 83036908641.

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 63 ways as a sum of consecutive naturals, for example, 4767192 + ... + 4797888.

It is an arithmetic number, because the mean of its divisors is an integer number (2501273040).

Almost surely, 2^146809630380 is an apocalyptic number.

146809630380 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 146809630380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240122211840).

146809630380 is an abundant number, since it is smaller than the sum of its proper divisors (333434793300).

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

146809630380 is a wasteful number, since it uses less digits than its factorization.

146809630380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30968 (or 30966 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 146809630380 in words is "one hundred forty-six billion, eight hundred nine million, six hundred thirty thousand, three hundred eighty".