146055413000 has 256 divisors, whose sum is σ = 412847884800. Its totient is φ = 47244902400.

The previous prime is 146055412999. The next prime is 146055413029. The reversal of 146055413000 is 314550641.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 34178864 + ... + 34183136.

It is an arithmetic number, because the mean of its divisors is an integer number (1612687050).

Almost surely, 2^146055413000 is an apocalyptic number.

146055413000 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 146055413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206423942400).

146055413000 is an abundant number, since it is smaller than the sum of its proper divisors (266792471800).

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

146055413000 is a wasteful number, since it uses less digits than its factorization.

146055413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 146055413000 its reverse (314550641), we get a palindrome (146369963641).

The spelling of 146055413000 in words is "one hundred forty-six billion, fifty-five million, four hundred thirteen thousand".