144015300000 has 1152 divisors, whose sum is σ = 618462915840. Its totient is φ = 32140800000.

The previous prime is 144015299971. The next prime is 144015300043. The reversal of 144015300000 is 3510441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 386099814 + ... + 386100186.

It is an arithmetic number, because the mean of its divisors is an integer number (536860170).

Almost surely, 2^144015300000 is an apocalyptic number.

144015300000 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 144015300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309231457920).

144015300000 is an abundant number, since it is smaller than the sum of its proper divisors (474447615840).

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

144015300000 is a wasteful number, since it uses less digits than its factorization.

144015300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 144015300000 its reverse (3510441), we get a palindrome (144018810441).

The spelling of 144015300000 in words is "one hundred forty-four billion, fifteen million, three hundred thousand".