144051051540 has 96 divisors (see below), whose sum is σ = 441087131520. Its totient is φ = 34836019200.

The previous prime is 144051051533. The next prime is 144051051541. The reversal of 144051051540 is 45150150441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144051051498 and 144051051507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144051051541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3120 + ... + 536760.

It is an arithmetic number, because the mean of its divisors is an integer number (4594657620).

Almost surely, 2^144051051540 is an apocalyptic number.

144051051540 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 144051051540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220543565760).

144051051540 is an abundant number, since it is smaller than the sum of its proper divisors (297036079980).

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

144051051540 is a wasteful number, since it uses less digits than its factorization.

144051051540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534073 (or 534071 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 144051051540 in words is "one hundred forty-four billion, fifty-one million, fifty-one thousand, five hundred forty".