10145142500 has 120 divisors (see below), whose sum is σ = 23517065880. Its totient is φ = 3821440000.

The previous prime is 10145142493. The next prime is 10145142503. The reversal of 10145142500 is 524154101.

10145142500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 10019209216 + 125933284 = 100096^2 + 11222^2 .

It is a super-3 number, since 3×10145142500³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10145142503) 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 39 ways as a sum of consecutive naturals, for example, 2970794 + ... + 2974206.

It is an arithmetic number, because the mean of its divisors is an integer number (195975549).

Almost surely, 2^10145142500 is an apocalyptic number.

10145142500 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 10145142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758532940).

10145142500 is an abundant number, since it is smaller than the sum of its proper divisors (13371923380).

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

10145142500 is a wasteful number, since it uses less digits than its factorization.

10145142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 10145142500 its reverse (524154101), we get a palindrome (10669296601).

The spelling of 10145142500 in words is "ten billion, one hundred forty-five million, one hundred forty-two thousand, five hundred".