146728182720 has 224 divisors, whose sum is σ = 546804177408. Its totient is φ = 32631386112.

The previous prime is 146728182719. The next prime is 146728182739. The reversal of 146728182720 is 27281827641.

146728182720 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 146728182720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46422 + ... + 543701.

Almost surely, 2^146728182720 is an apocalyptic number.

146728182720 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 146728182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273402088704).

146728182720 is an abundant number, since it is smaller than the sum of its proper divisors (400075994688).

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

146728182720 is a wasteful number, since it uses less digits than its factorization.

146728182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590187 (or 590177 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 146728182720 in words is "one hundred forty-six billion, seven hundred twenty-eight million, one hundred eighty-two thousand, seven hundred twenty".