128001356 has 72 divisors (see below), whose sum is σ = 272256768. Its totient is φ = 51559200.

The previous prime is 128001353. The next prime is 128001361. The reversal of 128001356 is 653100821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128001353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1802801 + ... + 1802871.

It is an arithmetic number, because the mean of its divisors is an integer number (3781344).

Almost surely, 2^128001356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128001356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136128384).

128001356 is an abundant number, since it is smaller than the sum of its proper divisors (144255412).

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

128001356 is a wasteful number, since it uses less digits than its factorization.

128001356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 128001356 is about 11313.7684261258. The cubic root of 128001356 is about 503.9701995901.

The spelling of 128001356 in words is "one hundred twenty-eight million, one thousand, three hundred fifty-six".