145081108800 has 252 divisors, whose sum is σ = 534752190336. Its totient is φ = 38688192000.

The previous prime is 145081108769. The next prime is 145081108859. The reversal of 145081108800 is 8801180541.

It is a happy number.

145081108800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202225 + ... + 575375.

Almost surely, 2^145081108800 is an apocalyptic number.

145081108800 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 145081108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267376095168).

145081108800 is an abundant number, since it is smaller than the sum of its proper divisors (389671081536).

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

145081108800 is an equidigital number, since it uses as much as digits as its factorization.

145081108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373188 (or 373161 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 145081108800 in words is "one hundred forty-five billion, eighty-one million, one hundred eight thousand, eight hundred".