13905126144 has 360 divisors, whose sum is σ = 51037780640. Its totient is φ = 3666788352.

The previous prime is 13905126143. The next prime is 13905126173. The reversal of 13905126144 is 44162150931.

It is a happy number.

13905126144 is a `hidden beast` number, since 1 + 39 + 0 + 5 + 1 + 2 + 614 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13905126099 and 13905126108.

It is not an unprimeable number, because it can be changed into a prime (13905126143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1883292 + ... + 1890660.

Almost surely, 2^13905126144 is an apocalyptic number.

13905126144 is a gapful number since it is divisible by the number (14) 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 13905126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25518890320).

13905126144 is an abundant number, since it is smaller than the sum of its proper divisors (37132654496).

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

13905126144 is an equidigital number, since it uses as much as digits as its factorization.

13905126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13905126144 in words is "thirteen billion, nine hundred five million, one hundred twenty-six thousand, one hundred forty-four".