146308252420 has 96 divisors (see below), whose sum is σ = 342469814400. Its totient is φ = 52056407040.

The previous prime is 146308252417. The next prime is 146308252529. The reversal of 146308252420 is 24252803641.

It is a super-2 number, since 2×146308252420² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146308252420.

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, 2162952 + ... + 2229568.

It is an arithmetic number, because the mean of its divisors is an integer number (3567393900).

Almost surely, 2^146308252420 is an apocalyptic number.

146308252420 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 146308252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171234907200).

146308252420 is an abundant number, since it is smaller than the sum of its proper divisors (196161561980).

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

146308252420 is a wasteful number, since it uses less digits than its factorization.

146308252420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66853 (or 66851 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 146308252420 in words is "one hundred forty-six billion, three hundred eight million, two hundred fifty-two thousand, four hundred twenty".