144926876640 has 1152 divisors, whose sum is σ = 597148941312. Its totient is φ = 29262643200.

The previous prime is 144926876639. The next prime is 144926876701. The reversal of 144926876640 is 46678629441.

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 191 ways as a sum of consecutive naturals, for example, 959780565 + ... + 959780715.

It is an arithmetic number, because the mean of its divisors is an integer number (518358456).

Almost surely, 2^144926876640 is an apocalyptic number.

144926876640 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 144926876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298574470656).

144926876640 is an abundant number, since it is smaller than the sum of its proper divisors (452222064672).

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

144926876640 is a wasteful number, since it uses less digits than its factorization.

144926876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 144926876640 in words is "one hundred forty-four billion, nine hundred twenty-six million, eight hundred seventy-six thousand, six hundred forty".