144734828640 has 768 divisors, whose sum is σ = 520224768000. Its totient is φ = 33652039680.

The previous prime is 144734828639. The next prime is 144734828653. The reversal of 144734828640 is 46828437441.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 1041257691 + ... + 1041257829.

It is an arithmetic number, because the mean of its divisors is an integer number (677376000).

Almost surely, 2^144734828640 is an apocalyptic number.

144734828640 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 144734828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260112384000).

144734828640 is an abundant number, since it is smaller than the sum of its proper divisors (375489939360).

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

144734828640 is a wasteful number, since it uses less digits than its factorization.

144734828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 144734828640 in words is "one hundred forty-four billion, seven hundred thirty-four million, eight hundred twenty-eight thousand, six hundred forty".