128109267000 has 1536 divisors, whose sum is σ = 556028928000. Its totient is φ = 26282880000.

The previous prime is 128109266963. The next prime is 128109267047. The reversal of 128109267000 is 762901821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4132556985 + ... + 4132557015.

It is an arithmetic number, because the mean of its divisors is an integer number (361998000).

Almost surely, 2^128109267000 is an apocalyptic number.

128109267000 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 128109267000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278014464000).

128109267000 is an abundant number, since it is smaller than the sum of its proper divisors (427919661000).

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

128109267000 is a wasteful number, since it uses less digits than its factorization.

128109267000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 128109267000 in words is "one hundred twenty-eight billion, one hundred nine million, two hundred sixty-seven thousand".