10145220142500 has 180 divisors, whose sum is σ = 32224859306640. Its totient is φ = 2690277048000.

The previous prime is 10145220142487. The next prime is 10145220142501. The reversal of 10145220142500 is 524102254101.

It is a happy number.

10145220142500 is a `hidden beast` number, since 1 + 0 + 1 + 452 + 20 + 142 + 50 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (10145220142501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2768007 + ... + 5286993.

It is an arithmetic number, because the mean of its divisors is an integer number (179026996148).

Almost surely, 2^{10145220142500} is an apocalyptic number.

10145220142500 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 10145220142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112429653320).

10145220142500 is an abundant number, since it is smaller than the sum of its proper divisors (22079639164140).

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

10145220142500 is a wasteful number, since it uses less digits than its factorization.

10145220142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519196 (or 2519176 counting only the distinct ones).

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

Adding to 10145220142500 its reverse (524102254101), we get a palindrome (10669322396601).

The spelling of 10145220142500 in words is "ten trillion, one hundred forty-five billion, two hundred twenty million, one hundred forty-two thousand, five hundred".