128733626146840 has 512 divisors, whose sum is σ = 356439199334400. Its totient is φ = 41202266112000.

The previous prime is 128733626146837. The next prime is 128733626146919. The reversal of 128733626146840 is 48641626337821.

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, 34155908476 + ... + 34155912244.

It is an arithmetic number, because the mean of its divisors is an integer number (696170311200).

Almost surely, 2^{128733626146840} is an apocalyptic number.

128733626146840 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 128733626146840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178219599667200).

128733626146840 is an abundant number, since it is smaller than the sum of its proper divisors (227705573187560).

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

128733626146840 is a wasteful number, since it uses less digits than its factorization.

128733626146840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 61.

The spelling of 128733626146840 in words is "one hundred twenty-eight trillion, seven hundred thirty-three billion, six hundred twenty-six million, one hundred forty-six thousand, eight hundred forty".