146763232920 has 384 divisors, whose sum is σ = 516241440000. Its totient is φ = 36040080384.

The previous prime is 146763232909. The next prime is 146763232937. The reversal of 146763232920 is 29232367641.

146763232920 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 632 + 3 + 2 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67352391 + ... + 67354569.

It is an arithmetic number, because the mean of its divisors is an integer number (1344378750).

Almost surely, 2^146763232920 is an apocalyptic number.

146763232920 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 146763232920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258120720000).

146763232920 is an abundant number, since it is smaller than the sum of its proper divisors (369478207080).

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

146763232920 is a wasteful number, since it uses less digits than its factorization.

146763232920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 146763232920 in words is "one hundred forty-six billion, seven hundred sixty-three million, two hundred thirty-two thousand, nine hundred twenty".