145122005200 has 120 divisors (see below), whose sum is σ = 364094392896. Its totient is φ = 55482240000.

The previous prime is 145122005137. The next prime is 145122005201. The reversal of 145122005200 is 2500221541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145122005201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13619875 + ... + 13630525.

Almost surely, 2^145122005200 is an apocalyptic number.

145122005200 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 145122005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182047196448).

145122005200 is an abundant number, since it is smaller than the sum of its proper divisors (218972387696).

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

145122005200 is a wasteful number, since it uses less digits than its factorization.

145122005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173 (or 12162 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 145122005200 its reverse (2500221541), we get a palindrome (147622226741).

The spelling of 145122005200 in words is "one hundred forty-five billion, one hundred twenty-two million, five thousand, two hundred".