146288338910720 has 160 divisors (see below), whose sum is σ = 362913423840000. Its totient is φ = 56486747570176.

The previous prime is 146288338910663. The next prime is 146288338910803. The reversal of 146288338910720 is 27019833882641.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×146288338910720² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393063281 + ... + 393435279.

It is an arithmetic number, because the mean of its divisors is an integer number (2268208899000).

Almost surely, 2^{146288338910720} is an apocalyptic number.

146288338910720 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 146288338910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181456711920000).

146288338910720 is an abundant number, since it is smaller than the sum of its proper divisors (216625084929280).

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

146288338910720 is an equidigital number, since it uses as much as digits as its factorization.

146288338910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377348 (or 377332 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 62.

The spelling of 146288338910720 in words is "one hundred forty-six trillion, two hundred eighty-eight billion, three hundred thirty-eight million, nine hundred ten thousand, seven hundred twenty".