128737924850304 has 1024 divisors, whose sum is σ = 494576310067200. Its totient is φ = 31967161712640.

The previous prime is 128737924850299. The next prime is 128737924850317. The reversal of 128737924850304 is 403058429737821.

It is a happy number.

128737924850304 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 37 + 9 + 248 + 50 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14058958494 + ... + 14058967650.

It is an arithmetic number, because the mean of its divisors is an integer number (482984677800).

Almost surely, 2^{128737924850304} is an apocalyptic number.

128737924850304 is a gapful number since it is divisible by the number (14) 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 128737924850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247288155033600).

128737924850304 is an abundant number, since it is smaller than the sum of its proper divisors (365838385216896).

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

128737924850304 is a wasteful number, since it uses less digits than its factorization.

128737924850304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 11500 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 128737924850304 in words is "one hundred twenty-eight trillion, seven hundred thirty-seven billion, nine hundred twenty-four million, eight hundred fifty thousand, three hundred four".