14131132144000 has 256 divisors, whose sum is σ = 35736313354560. Its totient is φ = 5555613696000.

The previous prime is 14131132143991. The next prime is 14131132144091. The reversal of 14131132144000 is 44123113141.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1515723339 + ... + 1515732661.

Almost surely, 2^{14131132144000} is an apocalyptic number.

14131132144000 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 14131132144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868156677280).

14131132144000 is an abundant number, since it is smaller than the sum of its proper divisors (21605181210560).

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

14131132144000 is an equidigital number, since it uses as much as digits as its factorization.

14131132144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10966 (or 10944 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 14131132144000 its reverse (44123113141), we get a palindrome (14175255257141).

The spelling of 14131132144000 in words is "fourteen trillion, one hundred thirty-one billion, one hundred thirty-two million, one hundred forty-four thousand".