145221214300000 has 288 divisors, whose sum is σ = 370947347850240. Its totient is φ = 55900401600000.

The previous prime is 145221214299991. The next prime is 145221214300007. The reversal of 145221214300000 is 3412122541.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145221214300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554769147 + ... + 555030853.

It is an arithmetic number, because the mean of its divisors is an integer number (1288011624480).

Almost surely, 2^{145221214300000} is an apocalyptic number.

145221214300000 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 145221214300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185473673925120).

145221214300000 is an abundant number, since it is smaller than the sum of its proper divisors (225726133550240).

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

145221214300000 is an equidigital number, since it uses as much as digits as its factorization.

145221214300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261952 (or 261924 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 145221214300000 its reverse (3412122541), we get a palindrome (145224626422541).

The spelling of 145221214300000 in words is "one hundred forty-five trillion, two hundred twenty-one billion, two hundred fourteen million, three hundred thousand".