146732980680 has 320 divisors, whose sum is σ = 579408984000. Its totient is φ = 32835248640.

The previous prime is 146732980661. The next prime is 146732980697. The reversal of 146732980680 is 86089237641.

146732980680 is a `hidden beast` number, since 1 + 467 + 3 + 29 + 80 + 6 + 80 = 666.

146732980680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 304971 + ... + 621669.

It is an arithmetic number, because the mean of its divisors is an integer number (1810653075).

Almost surely, 2^146732980680 is an apocalyptic number.

146732980680 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 146732980680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289704492000).

146732980680 is an abundant number, since it is smaller than the sum of its proper divisors (432676003320).

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

146732980680 is a wasteful number, since it uses less digits than its factorization.

146732980680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316746 (or 316733 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 146732980680 in words is "one hundred forty-six billion, seven hundred thirty-two million, nine hundred eighty thousand, six hundred eighty".