145141152200 has 192 divisors, whose sum is σ = 373435920000. Its totient is φ = 52022937600.

The previous prime is 145141152179. The next prime is 145141152203. The reversal of 145141152200 is 2251141541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 145141152200.

It is not an unprimeable number, because it can be changed into a prime (145141152203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52796426 + ... + 52799174.

It is an arithmetic number, because the mean of its divisors is an integer number (1944978750).

Almost surely, 2^145141152200 is an apocalyptic number.

145141152200 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 145141152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186717960000).

145141152200 is an abundant number, since it is smaller than the sum of its proper divisors (228294767800).

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

145141152200 is a wasteful number, since it uses less digits than its factorization.

145141152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 145141152200 its reverse (2251141541), we get a palindrome (147392293741).

The spelling of 145141152200 in words is "one hundred forty-five billion, one hundred forty-one million, one hundred fifty-two thousand, two hundred".