145504022101200 has 1440 divisors, whose sum is σ = 640671616713600. Its totient is φ = 31164575662080.

The previous prime is 145504022101133. The next prime is 145504022101211. The reversal of 145504022101200 is 2101220405541.

It is a happy number.

145504022101200 is a `hidden beast` number, since 1 + 4 + 5 + 50 + 402 + 2 + 1 + 0 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2060140287 + ... + 2060210913.

It is an arithmetic number, because the mean of its divisors is an integer number (444910844940).

Almost surely, 2^{145504022101200} is an apocalyptic number.

145504022101200 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 145504022101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320335808356800).

145504022101200 is an abundant number, since it is smaller than the sum of its proper divisors (495167594612400).

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

145504022101200 is a wasteful number, since it uses less digits than its factorization.

145504022101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70914 (or 70890 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 145504022101200 its reverse (2101220405541), we get a palindrome (147605242506741).

The spelling of 145504022101200 in words is "one hundred forty-five trillion, five hundred four billion, twenty-two million, one hundred one thousand, two hundred".