145227880800 has 504 divisors, whose sum is σ = 534391562376. Its totient is φ = 38521681920.

The previous prime is 145227880781. The next prime is 145227880829. The reversal of 145227880800 is 8088722541.

It is a happy number.

145227880800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145227880800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 132385852 + ... + 132386948.

It is an arithmetic number, because the mean of its divisors is an integer number (1060300719).

Almost surely, 2^145227880800 is an apocalyptic number.

145227880800 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 145227880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267195781188).

145227880800 is an abundant number, since it is smaller than the sum of its proper divisors (389163681576).

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

145227880800 is a wasteful number, since it uses less digits than its factorization.

145227880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 145227880800 in words is "one hundred forty-five billion, two hundred twenty-seven million, eight hundred eighty thousand, eight hundred".