146320020 has 576 divisors, whose sum is σ = 634023936. Its totient is φ = 27371520.

The previous prime is 146320019. The next prime is 146320063. The reversal of 146320020 is 20023641.

It is a happy number.

146320020 is a `hidden beast` number, since 1 + 463 + 200 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 146319975 and 146320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6361729 + ... + 6361751.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^146320020 is an apocalyptic number.

146320020 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 146320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968).

146320020 is an abundant number, since it is smaller than the sum of its proper divisors (487703916).

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

146320020 is a wasteful number, since it uses less digits than its factorization.

146320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 146320020 is about 12096.2812467303. The cubic root of 146320020 is about 526.9481902098.

Adding to 146320020 its reverse (20023641), we get a palindrome (166343661).

The spelling of 146320020 in words is "one hundred forty-six million, three hundred twenty thousand, twenty".