146245894080 has 1008 divisors, whose sum is σ = 581442966144. Its totient is φ = 30867333120.

The previous prime is 146245894057. The next prime is 146245894087. The reversal of 146245894080 is 80498542641.

146245894080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146245894087) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 644254927 + ... + 644255153.

Almost surely, 2^146245894080 is an apocalyptic number.

146245894080 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 146245894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290721483072).

146245894080 is an abundant number, since it is smaller than the sum of its proper divisors (435197072064).

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

146245894080 is a wasteful number, since it uses less digits than its factorization.

146245894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 146245894080 in words is "one hundred forty-six billion, two hundred forty-five million, eight hundred ninety-four thousand, eighty".