10132144000 has 256 divisors, whose sum is σ = 28687426560. Its totient is φ = 3522816000.

The previous prime is 10132143997. The next prime is 10132144019. The reversal of 10132144000 is 44123101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4046749 + ... + 4049251.

It is an arithmetic number, because the mean of its divisors is an integer number (112060260).

Almost surely, 2^10132144000 is an apocalyptic number.

10132144000 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 10132144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343713280).

10132144000 is an abundant number, since it is smaller than the sum of its proper divisors (18555282560).

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

10132144000 is a wasteful number, since it uses less digits than its factorization.

10132144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10132144000 its reverse (44123101), we get a palindrome (10176267101).

The spelling of 10132144000 in words is "ten billion, one hundred thirty-two million, one hundred forty-four thousand".