146745885000 has 960 divisors, whose sum is σ = 566298976320. Its totient is φ = 31207680000.

The previous prime is 146745884969. The next prime is 146745885001. The reversal of 146745885000 is 588547641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146745885001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3412694979 + ... + 3412695021.

It is an arithmetic number, because the mean of its divisors is an integer number (589894767).

Almost surely, 2^146745885000 is an apocalyptic number.

146745885000 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 146745885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283149488160).

146745885000 is an abundant number, since it is smaller than the sum of its proper divisors (419553091320).

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

146745885000 is a wasteful number, since it uses less digits than its factorization.

146745885000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 146745885000 in words is "one hundred forty-six billion, seven hundred forty-five million, eight hundred eighty-five thousand".