146168064000 has 1920 divisors, whose sum is σ = 667847980800. Its totient is φ = 31054233600.

The previous prime is 146168063983. The next prime is 146168064041. The reversal of 146168064000 is 460861641.

146168064000 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 6 + 8 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2757887974 + ... + 2757888026.

It is an arithmetic number, because the mean of its divisors is an integer number (347837490).

Almost surely, 2^146168064000 is an apocalyptic number.

146168064000 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 146168064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333923990400).

146168064000 is an abundant number, since it is smaller than the sum of its proper divisors (521679916800).

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

146168064000 is an equidigital number, since it uses as much as digits as its factorization.

146168064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 146168064000 in words is "one hundred forty-six billion, one hundred sixty-eight million, sixty-four thousand".