144878374080 has 672 divisors, whose sum is σ = 565085154816. Its totient is φ = 33761280000.

The previous prime is 144878374063. The next prime is 144878374133. The reversal of 144878374080 is 80473878441.

144878374080 is a `hidden beast` number, since 1 + 4 + 487 + 83 + 7 + 4 + 0 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 92219695 + ... + 92221265.

It is an arithmetic number, because the mean of its divisors is an integer number (840900528).

Almost surely, 2^144878374080 is an apocalyptic number.

144878374080 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 144878374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282542577408).

144878374080 is an abundant number, since it is smaller than the sum of its proper divisors (420206780736).

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

144878374080 is a wasteful number, since it uses less digits than its factorization.

144878374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 144878374080 in words is "one hundred forty-four billion, eight hundred seventy-eight million, three hundred seventy-four thousand, eighty".