144049135104 has 400 divisors, whose sum is σ = 493452512256. Its totient is φ = 40982630400.

The previous prime is 144049135103. The next prime is 144049135121. The reversal of 144049135104 is 401531940441.

144049135104 is a `hidden beast` number, since 14 + 40 + 4 + 91 + 3 + 510 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144049135103) 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, 78671469 + ... + 78673299.

Almost surely, 2^144049135104 is an apocalyptic number.

144049135104 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 144049135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246726256128).

144049135104 is an abundant number, since it is smaller than the sum of its proper divisors (349403377152).

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

144049135104 is an equidigital number, since it uses as much as digits as its factorization.

144049135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 144049135104 in words is "one hundred forty-four billion, forty-nine million, one hundred thirty-five thousand, one hundred four".