145805184000 has 1760 divisors, whose sum is σ = 649138089600. Its totient is φ = 32514048000.

The previous prime is 145805183981. The next prime is 145805184017. The reversal of 145805184000 is 481508541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3556223980 + ... + 3556224020.

It is an arithmetic number, because the mean of its divisors is an integer number (368828460).

Almost surely, 2^145805184000 is an apocalyptic number.

145805184000 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 145805184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324569044800).

145805184000 is an abundant number, since it is smaller than the sum of its proper divisors (503332905600).

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

145805184000 is an frugal number, since it uses more digits than its factorization.

145805184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 145805184000 in words is "one hundred forty-five billion, eight hundred five million, one hundred eighty-four thousand".