10202145144 has 64 divisors (see below), whose sum is σ = 26705548800. Its totient is φ = 3241704576.

The previous prime is 10202145131. The next prime is 10202145197. The reversal of 10202145144 is 44154120201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130197 + ... + 193275.

It is an arithmetic number, because the mean of its divisors is an integer number (417274200).

Almost surely, 2^10202145144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202145144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13352774400).

10202145144 is an abundant number, since it is smaller than the sum of its proper divisors (16503403656).

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

10202145144 is a wasteful number, since it uses less digits than its factorization.

10202145144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63404 (or 63400 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10202145144 its reverse (44154120201), we get a palindrome (54356265345).

The spelling of 10202145144 in words is "ten billion, two hundred two million, one hundred forty-five thousand, one hundred forty-four".