145226820200 has 192 divisors, whose sum is σ = 422016739200. Its totient is φ = 45152870400.

The previous prime is 145226820191. The next prime is 145226820217. The reversal of 145226820200 is 2028622541.

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, 6287072 + ... + 6310128.

It is an arithmetic number, because the mean of its divisors is an integer number (2198003850).

Almost surely, 2^145226820200 is an apocalyptic number.

145226820200 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 145226820200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211008369600).

145226820200 is an abundant number, since it is smaller than the sum of its proper divisors (276789919000).

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

145226820200 is a wasteful number, since it uses less digits than its factorization.

145226820200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23500 (or 23491 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 145226820200 in words is "one hundred forty-five billion, two hundred twenty-six million, eight hundred twenty thousand, two hundred".