145617324800 has 216 divisors, whose sum is σ = 366171938496. Its totient is φ = 57324113920.

The previous prime is 145617324761. The next prime is 145617324817. The reversal of 145617324800 is 8423716541.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248070107 + ... + 248070693.

It is an arithmetic number, because the mean of its divisors is an integer number (1695240456).

Almost surely, 2^145617324800 is an apocalyptic number.

145617324800 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 145617324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183085969248).

145617324800 is an abundant number, since it is smaller than the sum of its proper divisors (220554613696).

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

145617324800 is an equidigital number, since it uses as much as digits as its factorization.

145617324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 145617324800 in words is "one hundred forty-five billion, six hundred seventeen million, three hundred twenty-four thousand, eight hundred".