146311620 has 192 divisors, whose sum is σ = 510590976. Its totient is φ = 30481920.

The previous prime is 146311591. The next prime is 146311631. The reversal of 146311620 is 26113641.

146311620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693315 + ... + 693525.

It is an arithmetic number, because the mean of its divisors is an integer number (2659328).

Almost surely, 2^146311620 is an apocalyptic number.

146311620 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 146311620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255295488).

146311620 is an abundant number, since it is smaller than the sum of its proper divisors (364279356).

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

146311620 is a wasteful number, since it uses less digits than its factorization.

146311620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 146311620 is about 12095.9340275979. The cubic root of 146311620 is about 526.9381062639.

The spelling of 146311620 in words is "one hundred forty-six million, three hundred eleven thousand, six hundred twenty".