145004431800 has 192 divisors, whose sum is σ = 473830387200. Its totient is φ = 36581760000.

The previous prime is 145004431787. The next prime is 145004431841. The reversal of 145004431800 is 8134400541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8552932 + ... + 8569868.

It is an arithmetic number, because the mean of its divisors is an integer number (2467866600).

Almost surely, 2^145004431800 is an apocalyptic number.

145004431800 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 145004431800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236915193600).

145004431800 is an abundant number, since it is smaller than the sum of its proper divisors (328825955400).

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

145004431800 is a wasteful number, since it uses less digits than its factorization.

145004431800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17726 (or 17717 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 145004431800 in words is "one hundred forty-five billion, four million, four hundred thirty-one thousand, eight hundred".