146213590320 has 320 divisors, whose sum is σ = 576138839040. Its totient is φ = 33387282432.

The previous prime is 146213590319. The next prime is 146213590321. The reversal of 146213590320 is 23095312641.

146213590320 is a `hidden beast` number, since 1 + 4 + 62 + 1 + 3 + 590 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146213590319) and next prime (146213590321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146213590321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17429167 + ... + 17437553.

It is an arithmetic number, because the mean of its divisors is an integer number (1800433872).

Almost surely, 2^146213590320 is an apocalyptic number.

146213590320 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 146213590320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288069419520).

146213590320 is an abundant number, since it is smaller than the sum of its proper divisors (429925248720).

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

146213590320 is a wasteful number, since it uses less digits than its factorization.

146213590320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9569 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 146213590320 in words is "one hundred forty-six billion, two hundred thirteen million, five hundred ninety thousand, three hundred twenty".