146312042880 has 512 divisors, whose sum is σ = 488005372800. Its totient is φ = 37265080320.

The previous prime is 146312042879. The next prime is 146312042893. The reversal of 146312042880 is 88240213641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931923762 + ... + 931923918.

Almost surely, 2^146312042880 is an apocalyptic number.

146312042880 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 146312042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244002686400).

146312042880 is an abundant number, since it is smaller than the sum of its proper divisors (341693329920).

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

146312042880 is a wasteful number, since it uses less digits than its factorization.

146312042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 146312042880 in words is "one hundred forty-six billion, three hundred twelve million, forty-two thousand, eight hundred eighty".