146121705600 has 768 divisors, whose sum is σ = 539070913920. Its totient is φ = 34557788160.

The previous prime is 146121705581. The next prime is 146121705629. The reversal of 146121705600 is 6507121641.

146121705600 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391747014 + ... + 391747386.

Almost surely, 2^146121705600 is an apocalyptic number.

146121705600 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 146121705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269535456960).

146121705600 is an abundant number, since it is smaller than the sum of its proper divisors (392949208320).

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

146121705600 is a wasteful number, since it uses less digits than its factorization.

146121705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 146121705600 in words is "one hundred forty-six billion, one hundred twenty-one million, seven hundred five thousand, six hundred".