128651867136000 has 2240 divisors, whose sum is σ = 519740266421376. Its totient is φ = 31603654656000.

The previous prime is 128651867135971. The next prime is 128651867136029. The reversal of 128651867136000 is 631768156821.

It is a happy number.

128651867136000 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 5 + 18 + 6 + 7 + 13 + 600 + 0 = 666.

128651867136000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (128651867135971) and next prime (128651867136029).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 262020095755 + ... + 262020096245.

Almost surely, 2^{128651867136000} is an apocalyptic number.

128651867136000 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 128651867136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259870133210688).

128651867136000 is an abundant number, since it is smaller than the sum of its proper divisors (391088399285376).

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

128651867136000 is an frugal number, since it uses more digits than its factorization.

128651867136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 128651867136000 in words is "one hundred twenty-eight trillion, six hundred fifty-one billion, eight hundred sixty-seven million, one hundred thirty-six thousand".