146859834000 has 640 divisors, whose sum is σ = 537497026560. Its totient is φ = 34176000000.

The previous prime is 146859833987. The next prime is 146859834001. The reversal of 146859834000 is 438958641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (146859834001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366233800 + ... + 366234200.

It is an arithmetic number, because the mean of its divisors is an integer number (839839104).

Almost surely, 2^146859834000 is an apocalyptic number.

146859834000 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 146859834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268748513280).

146859834000 is an abundant number, since it is smaller than the sum of its proper divisors (390637192560).

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

146859834000 is a wasteful number, since it uses less digits than its factorization.

146859834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 146859834000 in words is "one hundred forty-six billion, eight hundred fifty-nine million, eight hundred thirty-four thousand".