146985912000 has 336 divisors, whose sum is σ = 529182799392. Its totient is φ = 38943590400.

The previous prime is 146985911999. The next prime is 146985912013. The reversal of 146985912000 is 219589641.

146985912000 is a `hidden beast` number, since 1 + 469 + 85 + 91 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 11297499 + ... + 11310501.

Almost surely, 2^146985912000 is an apocalyptic number.

146985912000 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 146985912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264591399696).

146985912000 is an abundant number, since it is smaller than the sum of its proper divisors (382196887392).

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

146985912000 is a wasteful number, since it uses less digits than its factorization.

146985912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13193 (or 13170 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 146985912000 in words is "one hundred forty-six billion, nine hundred eighty-five million, nine hundred twelve thousand".