146005649599000 has 128 divisors (see below), whose sum is σ = 342590321548800. Its totient is φ = 58242103920000.

The previous prime is 146005649598983. The next prime is 146005649599001. The reversal of 146005649599000 is 995946500641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146005649599001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6060576955 + ... + 6060601045.

It is an arithmetic number, because the mean of its divisors is an integer number (2676486887100).

Almost surely, 2^{146005649599000} is an apocalyptic number.

146005649599000 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 146005649599000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171295160774400).

146005649599000 is an abundant number, since it is smaller than the sum of its proper divisors (196584671949800).

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

146005649599000 is a wasteful number, since it uses less digits than its factorization.

146005649599000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40482 (or 40468 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 58.

The spelling of 146005649599000 in words is "one hundred forty-six trillion, five billion, six hundred forty-nine million, five hundred ninety-nine thousand".