146305082880 has 960 divisors, whose sum is σ = 607608967680. Its totient is φ = 32115916800.

The previous prime is 146305082879. The next prime is 146305082921. The reversal of 146305082880 is 88280503641.

146305082880 is a `hidden beast` number, since 1 + 4 + 63 + 0 + 508 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110752620 + ... + 110753940.

It is an arithmetic number, because the mean of its divisors is an integer number (632926008).

Almost surely, 2^146305082880 is an apocalyptic number.

146305082880 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 146305082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303804483840).

146305082880 is an abundant number, since it is smaller than the sum of its proper divisors (461303884800).

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

146305082880 is a wasteful number, since it uses less digits than its factorization.

146305082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 146305082880 in words is "one hundred forty-six billion, three hundred five million, eighty-two thousand, eight hundred eighty".