145790668800 has 1404 divisors, whose sum is σ = 639702159616. Its totient is φ = 32248627200.

The previous prime is 145790668783. The next prime is 145790668871. The reversal of 145790668800 is 8866097541.

145790668800 is a `hidden beast` number, since 1 + 4 + 579 + 0 + 6 + 68 + 8 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4702924785 + ... + 4702924815.

Almost surely, 2^145790668800 is an apocalyptic number.

145790668800 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 145790668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319851079808).

145790668800 is an abundant number, since it is smaller than the sum of its proper divisors (493911490816).

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

145790668800 is an frugal number, since it uses more digits than its factorization.

145790668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 145790668800 in words is "one hundred forty-five billion, seven hundred ninety million, six hundred sixty-eight thousand, eight hundred".