146800008000 has 504 divisors, whose sum is σ = 540359184456. Its totient is φ = 38020608000.

The previous prime is 146800007953. The next prime is 146800008023. The reversal of 146800008000 is 800008641.

It can be written as a sum of positive squares in 4 ways, for example, as 33112353024 + 113687654976 = 181968^2 + 337176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 658295889 + ... + 658296111.

It is an arithmetic number, because the mean of its divisors is an integer number (1072141239).

Almost surely, 2^146800008000 is an apocalyptic number.

146800008000 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 146800008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270179592228).

146800008000 is an abundant number, since it is smaller than the sum of its proper divisors (393559176456).

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

146800008000 is an equidigital number, since it uses as much as digits as its factorization.

146800008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 146800008000 in words is "one hundred forty-six billion, eight hundred million, eight thousand".