146982828720 has 480 divisors, whose sum is σ = 565721362944. Its totient is φ = 30910464000.

The previous prime is 146982828691. The next prime is 146982828737. The reversal of 146982828720 is 27828289641.

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, 113851275 + ... + 113852565.

Almost surely, 2^146982828720 is an apocalyptic number.

146982828720 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 146982828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282860681472).

146982828720 is an abundant number, since it is smaller than the sum of its proper divisors (418738534224).

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

146982828720 is a wasteful number, since it uses less digits than its factorization.

146982828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 146982828720 in words is "one hundred forty-six billion, nine hundred eighty-two million, eight hundred twenty-eight thousand, seven hundred twenty".