144200936880 has 2400 divisors, whose sum is σ = 708046682112. Its totient is φ = 26440888320.

The previous prime is 144200936851. The next prime is 144200936911. The reversal of 144200936880 is 88639002441.

It is a happy number.

144200936880 is a `hidden beast` number, since 1 + 4 + 4 + 200 + 9 + 368 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3068105017 + ... + 3068105063.

Almost surely, 2^144200936880 is an apocalyptic number.

144200936880 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 144200936880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354023341056).

144200936880 is an abundant number, since it is smaller than the sum of its proper divisors (563845745232).

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

144200936880 is a wasteful number, since it uses less digits than its factorization.

144200936880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 144200936880 in words is "one hundred forty-four billion, two hundred million, nine hundred thirty-six thousand, eight hundred eighty".