13144273920 has 176 divisors, whose sum is σ = 46712867520. Its totient is φ = 3505102848.

The previous prime is 13144273903. The next prime is 13144273937. The reversal of 13144273920 is 2937244131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13144273903) and next prime (13144273937).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 90699 + ... + 185781.

It is an arithmetic number, because the mean of its divisors is an integer number (265414020).

Almost surely, 2^13144273920 is an apocalyptic number.

13144273920 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 13144273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23356433760).

13144273920 is an abundant number, since it is smaller than the sum of its proper divisors (33568593600).

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

13144273920 is an equidigital number, since it uses as much as digits as its factorization.

13144273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95117 (or 95093 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13144273920 in words is "thirteen billion, one hundred forty-four million, two hundred seventy-three thousand, nine hundred twenty".